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If A = $open square brackets table row 3 2 row 1 4 end table close square brackets$ and B = $open square brackets table row cell negative 1 end cell 2 row cell negative 1 end cell 1 end table close square brackets$ , then correct statement is -

AB = BA
AA^T= A²
AB = B²
None of these

The correct answer is: None of these

To find the correct statement from the given options.
Since, the two matrices given are not commutative ,i.e, adding two matrices in any order we are not getting the same result, so AB is not equal to BA.
We know that, $A A to the power of T$ = I. Therefore, option 2 is wrong.
Since, A and B are not identical, AB is not equal to $A squared$

Therefore, none of the given options is true.

If A, B, C, are three matrices, then A^T + B^T + C^T is -

Maths-General

General

Maths-

If A and B are matrices of order m × n and n × m respectively, then the order of matrix B^T (A^T)^T is -

Maths-General

General

Maths-

If A = $open square brackets table row 1 2 row cell negative 1 end cell 2 end table close square brackets$ and B = $open square brackets table row 3 4 row 2 cell negative 2 end cell end table close square brackets$ , then (AB)^T is-

Maths-General

General

Maths-

If $open square brackets table row alpha beta row gamma cell negative alpha end cell end table close square brackets$ is square root of I2, then $alpha comma beta$ and $gamma$ will satisfy the relation -

Maths-General

General

Maths-

If A = $open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets$ then A² – 5A + 6I =

Maths-General

General

Maths-

If A = $open square brackets table row 0 cell negative i end cell row i 0 end table close square brackets$ , B = $open square brackets table row 0 1 row 1 0 end table close square brackets$ , C = $open square brackets table row 1 0 row 0 cell negative 1 end cell end table close square brackets$ , then which of the following statement is true-

Maths-General

General

Maths-

If A = $open square brackets table row 0 1 row 1 0 end table close square brackets$ and B = $open square brackets table row 0 cell negative i end cell row i 0 end table close square brackets$ , then -

Maths-General

General

Maths-

$open square brackets table row 1 cell negative tan invisible function application alpha divided by 2 end cell row cell tan invisible function application alpha divided by 2 end cell 1 end table close square brackets$ $open square brackets table row cell tan invisible function application alpha divided by 2 end cell 1 row 1 0 end table close square brackets$ equals-

Maths-General

General

Maths-

Statement - I For any real value of $theta not equal to left parenthesis 2 n plus 1 right parenthesis pi$ or $left parenthesis 2 straight n plus 1 right parenthesis pi divided by 2 comma straight n element of straight I$ the value of the expression $straight y equals fraction numerator cos squared begin display style space end style theta minus 1 over denominator cos squared begin display style space end style theta plus cos space theta end fraction text is end text straight y less or equal than$ 0 or y≥2 (either less than or equal to zero or greater than or equal to two)
Statement - II $sec space theta element of left parenthesis negative straight infinity comma negative 1 right square bracket union left square bracket 1 comma straight infinity right parenthesis$ for all real values of $theta$ .

In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason

Statement - I For any real value of $theta not equal to left parenthesis 2 n plus 1 right parenthesis pi$ or $left parenthesis 2 straight n plus 1 right parenthesis pi divided by 2 comma straight n element of straight I$ the value of the expression $straight y equals fraction numerator cos squared begin display style space end style theta minus 1 over denominator cos squared begin display style space end style theta plus cos space theta end fraction text is end text straight y less or equal than$ 0 or y≥2 (either less than or equal to zero or greater than or equal to two)
Statement - II $sec space theta element of left parenthesis negative straight infinity comma negative 1 right square bracket union left square bracket 1 comma straight infinity right parenthesis$ for all real values of $theta$ .

Maths-General

In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason

General

Maths-

If A = $open square brackets table row cell cos invisible function application alpha end cell cell sin invisible function application alpha end cell row cell negative sin invisible function application alpha end cell cell cos invisible function application alpha end cell end table close square brackets$ , then A² equals-

Maths-General

General

Maths-

The root of the equation [x 1 2] $open square brackets table attributes columnalign left left left columnspacing 1em end attributes row cell 0 1 1 end cell row cell 1 0 1 end cell row cell 1 1 0 end cell end table close square brackets$ $open square brackets table row x row cell negative 1 end cell row 1 end table close square brackets$ = 0 is-

Maths-General

General

Maths-

If A = $open square brackets table row 3 1 row 7 5 end table close square brackets$ and A² + kI = 8A, then k equals

Maths-General

General

Maths-

If A and B are matrices of order m × n and n × n respectively, then which of the following are defined-

Maths-General

General

chemistry-

the products (A) and (B) are:

chemistry-General

General

Maths-

A matrix A = (aij) m x n is said to be a square matrix if-

Maths-General

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If A = $open square brackets table row 3 2 row 1 4 end table close square brackets$ and B = $open square brackets table row cell negative 1 end cell 2 row cell negative 1 end cell 1 end table close square brackets$ , then correct statement is -

AB = BA
AA^T= A²
AB = B²
None of these

The correct answer is: None of these

Related Questions to study

If A, B, C, are three matrices, then A^T + B^T + C^T is -

If A, B, C, are three matrices, then A^T + B^T + C^T is -

If A and B are matrices of order m × n and n × m respectively, then the order of matrix B^T (A^T)^T is -

If A and B are matrices of order m × n and n × m respectively, then the order of matrix B^T (A^T)^T is -

If A = $open square brackets table row 1 2 row cell negative 1 end cell 2 end table close square brackets$ and B = $open square brackets table row 3 4 row 2 cell negative 2 end cell end table close square brackets$ , then (AB)^T is-

If A = $open square brackets table row 1 2 row cell negative 1 end cell 2 end table close square brackets$ and B = $open square brackets table row 3 4 row 2 cell negative 2 end cell end table close square brackets$ , then (AB)^T is-

If $open square brackets table row alpha beta row gamma cell negative alpha end cell end table close square brackets$ is square root of I2, then $alpha comma beta$ and $gamma$ will satisfy the relation -

If $open square brackets table row alpha beta row gamma cell negative alpha end cell end table close square brackets$ is square root of I2, then $alpha comma beta$ and $gamma$ will satisfy the relation -

If A = $open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets$ then A² – 5A + 6I =

If A = $open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets$ then A² – 5A + 6I =

If A = $open square brackets table row 0 1 row 1 0 end table close square brackets$ and B = $open square brackets table row 0 cell negative i end cell row i 0 end table close square brackets$ , then -

If A = $open square brackets table row 0 1 row 1 0 end table close square brackets$ and B = $open square brackets table row 0 cell negative i end cell row i 0 end table close square brackets$ , then -

If A = $open square brackets table row 3 1 row 7 5 end table close square brackets$ and A² + kI = 8A, then k equals

If A = $open square brackets table row 3 1 row 7 5 end table close square brackets$ and A² + kI = 8A, then k equals

If A and B are matrices of order m × n and n × n respectively, then which of the following are defined-

If A and B are matrices of order m × n and n × n respectively, then which of the following are defined-

the products (A) and (B) are:

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A matrix A = (aij) m x n is said to be a square matrix if-

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If A = and B =, then correct statement is -

AB = BA AAT = A2 AB = B2 None of these

The correct answer is: None of these

Related Questions to study

If A, B, C, are three matrices, then AT + BT + CT is -

If A, B, C, are three matrices, then AT + BT + CT is -

If A and B are matrices of order m × n and n × m respectively, then the order of matrix BT (AT)T is -

If A and B are matrices of order m × n and n × m respectively, then the order of matrix BT (AT)T is -

If A = and B = , then (AB)T is-

If A = and B = , then (AB)T is-

If is square root of I2, then and will satisfy the relation -

If is square root of I2, then and will satisfy the relation -

If A = then A2 – 5A + 6I =

If A = then A2 – 5A + 6I =

If A =, B =, C =, then which of the following statement is true-

If A =, B =, C =, then which of the following statement is true-

If A = and B = , then -

If A = and B = , then -

equals-

equals-

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Statement - I For any real value of or the value of the expression 0 or y≥2 (either less than or equal to zero or greater than or equal to two)Statement - II for all real values of .

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If A = and A2 + kI = 8A, then k equals

If A = and A2 + kI = 8A, then k equals

If A and B are matrices of order m × n and n × n respectively, then which of the following are defined-

If A and B are matrices of order m × n and n × n respectively, then which of the following are defined-

the products (A) and (B) are:

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A matrix A = (aij) m x n is said to be a square matrix if-

A matrix A = (aij) m x n is said to be a square matrix if-

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If A = $open square brackets table row 3 2 row 1 4 end table close square brackets$ and B = $open square brackets table row cell negative 1 end cell 2 row cell negative 1 end cell 1 end table close square brackets$ , then correct statement is -

AB = BA
AA^T= A²
AB = B²
None of these

If A, B, C, are three matrices, then A^T + B^T + C^T is -

If A, B, C, are three matrices, then A^T + B^T + C^T is -

If A and B are matrices of order m × n and n × m respectively, then the order of matrix B^T (A^T)^T is -

If A and B are matrices of order m × n and n × m respectively, then the order of matrix B^T (A^T)^T is -

If A = $open square brackets table row 1 2 row cell negative 1 end cell 2 end table close square brackets$ and B = $open square brackets table row 3 4 row 2 cell negative 2 end cell end table close square brackets$ , then (AB)^T is-

If A = $open square brackets table row 1 2 row cell negative 1 end cell 2 end table close square brackets$ and B = $open square brackets table row 3 4 row 2 cell negative 2 end cell end table close square brackets$ , then (AB)^T is-

If $open square brackets table row alpha beta row gamma cell negative alpha end cell end table close square brackets$ is square root of I2, then $alpha comma beta$ and $gamma$ will satisfy the relation -

If $open square brackets table row alpha beta row gamma cell negative alpha end cell end table close square brackets$ is square root of I2, then $alpha comma beta$ and $gamma$ will satisfy the relation -

If A = $open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets$ then A² – 5A + 6I =

If A = $open square brackets table row 2 0 1 row 2 1 3 row 1 cell negative 1 end cell 0 end table close square brackets$ then A² – 5A + 6I =

If A = $open square brackets table row 0 1 row 1 0 end table close square brackets$ and B = $open square brackets table row 0 cell negative i end cell row i 0 end table close square brackets$ , then -

If A = $open square brackets table row 0 1 row 1 0 end table close square brackets$ and B = $open square brackets table row 0 cell negative i end cell row i 0 end table close square brackets$ , then -

If A = $open square brackets table row 3 1 row 7 5 end table close square brackets$ and A² + kI = 8A, then k equals

If A = $open square brackets table row 3 1 row 7 5 end table close square brackets$ and A² + kI = 8A, then k equals