Maths-

General

Easy

Question

If A is symmetric matrix and B is a skew- symmetric matrix, then for n $element of$ N, false statement is -

Aⁿ is symmetric
Aⁿ is symmetric only when n is even
Bⁿis skew symmetric when n is odd
Bⁿ is symmetric when n is even

The correct answer is: Aⁿ is symmetric only when n is even

If A – $straight A to the power of straight prime$ = 0, then $straight A to the power of straight prime$ is -

Maths-General

General

Maths-

If A is a matrix of order 3 × 4, then both AB^T and B^TA are defined if order of B is -

Maths-General

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 $A A to the power of straight prime$ equals -

maths-General

General

Maths-

Consider the cubic equation $x cubed minus left parenthesis 1 plus cos space theta plus sin space theta right parenthesis x squared plus left parenthesis cos space theta sin space theta plus cos space theta plus sin space theta right parenthesis x minus sin space theta cos space theta equals 0$ whose roots are x₁, x₂, and x₃
The value of $x subscript 1 superscript 2 plus x subscript 2 superscript 2 plus x subscript 3 superscript 2$ equals

In this question, we have to given the cubic equation and its root x1,x2,x3 and we have to find the
$x 1 squared plus x 2 squared plus x 3 squared$ .Use, $left parenthesis x 1 plus x 2 plus x 3 right parenthesis squared equals x 1 squared plus x 2 squared plus x 3 squared plus 2 left parenthesis x 1 x 2 plus x 2 x 3 plus x 3 x 1 right parenthesis$ and sum of roots is $fraction numerator negative c over denominator a end fraction$ and product of roots is b/a.

Consider the cubic equation $x cubed minus left parenthesis 1 plus cos space theta plus sin space theta right parenthesis x squared plus left parenthesis cos space theta sin space theta plus cos space theta plus sin space theta right parenthesis x minus sin space theta cos space theta equals 0$ whose roots are x₁, x₂, and x₃
The value of $x subscript 1 superscript 2 plus x subscript 2 superscript 2 plus x subscript 3 superscript 2$ equals

Maths-General

General

Maths-

Let A be a square matrix. Then which of the following is not a symmetric matrix -

Maths-General

General

Maths-

If A is a square matrix, then A– $straight A to the power of straight prime$ is -

Maths-General

General

maths-

If A is symmetric matrix and B is a skew- symmetric matrix, then for n $element of$ N, false statement is -

maths-General

General

Maths-

If A $negative A to the power of straight prime$ = 0, then $straight A to the power of straight prime$ is -

Maths-General

General

Maths-

If A is a matrix of order 3 × 4, then both AB^Tand B^TA are defined if order of B is -

Maths-General

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 A $straight A to the power of straight prime$ equals -

maths-General

General

chemistry-

The ratio of the gases obtained on dehydration ofHCOOH and $H subscript 2 C subscript 2 O subscript 4 space b y space c o n c. H subscript 2 S O subscript 4$

chemistry-General

General

maths-

If A = $open square brackets table row 3 x row y 0 end table close square brackets$ and A = A^T, then -

maths-General

General

Maths-

For suitable matrices A, B; the false statement is-

Maths-General

General

maths-

If A = $open square brackets table row a b row b a end table close square brackets$ , then |A +A^T| equals -

maths-General

General

Maths-

If A= $open square brackets table row cell cos invisible function application theta end cell cell negative sin invisible function application theta end cell row cell sin invisible function application theta end cell cell cos invisible function application theta end cell end table close square brackets$ , then AA^T equals-

Maths-General

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If A is symmetric matrix and B is a skew- symmetric matrix, then for n N, false statement is -

An is symmetric An is symmetric only when n is even Bn is skew symmetric when n is odd Bn is symmetric when n is even

The correct answer is: An is symmetric only when n is even

Related Questions to study

If A – = 0, then is -

If A – = 0, then is -

If A is a matrix of order 3 × 4, then both ABT and BTA are defined if order of B is -

If A is a matrix of order 3 × 4, then both ABT and BTA are defined if order of B is -

If A =, then equals -

If A =, then equals -

Consider the cubic equation whose roots are x1, x2, and x3The value of equals

Consider the cubic equation whose roots are x1, x2, and x3The value of equals

Let A be a square matrix. Then which of the following is not a symmetric matrix -

Let A be a square matrix. Then which of the following is not a symmetric matrix -

If A is a square matrix, then A– is -

If A is a square matrix, then A– is -

If A is symmetric matrix and B is a skew- symmetric matrix, then for n N, false statement is -

If A is symmetric matrix and B is a skew- symmetric matrix, then for n N, false statement is -

If A = 0, then is -

If A = 0, then is -

If A is a matrix of order 3 × 4, then both ABT and BTA are defined if order of B is -

If A is a matrix of order 3 × 4, then both ABT and BTA are defined if order of B is -

If A =, then A equals -

If A =, then A equals -

The ratio of the gases obtained on dehydration ofHCOOH and

The ratio of the gases obtained on dehydration ofHCOOH and

If A = and A = AT, then -

If A = and A = AT, then -

For suitable matrices A, B; the false statement is-

For suitable matrices A, B; the false statement is-

If A =, then |A +AT| equals -

If A =, then |A +AT| equals -

If A= , then AAT equals-

If A= , then AAT equals-

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If A is symmetric matrix and B is a skew- symmetric matrix, then for n $element of$ N, false statement is -

Aⁿ is symmetric
Aⁿ is symmetric only when n is even
Bⁿis skew symmetric when n is odd
Bⁿ is symmetric when n is even

The correct answer is: Aⁿ is symmetric only when n is even

If A – $straight A to the power of straight prime$ = 0, then $straight A to the power of straight prime$ is -

If A – $straight A to the power of straight prime$ = 0, then $straight A to the power of straight prime$ is -

If A is a matrix of order 3 × 4, then both AB^T and B^TA are defined if order of B is -

If A is a matrix of order 3 × 4, then both AB^T and B^TA are defined if order of B is -

If A is a square matrix, then A– $straight A to the power of straight prime$ is -

If A is a square matrix, then A– $straight A to the power of straight prime$ is -

If A is symmetric matrix and B is a skew- symmetric matrix, then for n $element of$ N, false statement is -

If A is symmetric matrix and B is a skew- symmetric matrix, then for n $element of$ N, false statement is -

If A $negative A to the power of straight prime$ = 0, then $straight A to the power of straight prime$ is -

If A $negative A to the power of straight prime$ = 0, then $straight A to the power of straight prime$ is -

If A is a matrix of order 3 × 4, then both AB^Tand B^TA are defined if order of B is -

If A is a matrix of order 3 × 4, then both AB^Tand B^TA are defined if order of B is -

The ratio of the gases obtained on dehydration ofHCOOH and $H subscript 2 C subscript 2 O subscript 4 space b y space c o n c. H subscript 2 S O subscript 4$

The ratio of the gases obtained on dehydration ofHCOOH and $H subscript 2 C subscript 2 O subscript 4 space b y space c o n c. H subscript 2 S O subscript 4$

If A = $open square brackets table row 3 x row y 0 end table close square brackets$ and A = A^T, then -

If A = $open square brackets table row 3 x row y 0 end table close square brackets$ and A = A^T, then -

If A = $open square brackets table row a b row b a end table close square brackets$ , then |A +A^T| equals -

If A = $open square brackets table row a b row b a end table close square brackets$ , then |A +A^T| equals -