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If A = $open square brackets table row 1 2 row 3 5 end table close square brackets$ , then A^–1 is equal to :

$[\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}]$
$[\begin{matrix} - 5 & 3 \\ 2 & - 1 \end{matrix}]$
$[\begin{matrix} - 5 & 2 \\ 3 & - 1 \end{matrix}]$
none of these

The correct answer is: $open square brackets table row cell – 5 end cell 2 row 3 cell – 1 end cell end table close square brackets$

A^–1 = $fraction numerator a d j A over denominator vertical line A vertical line end fraction$
$because$ |A| = – 1
adj A = $open square brackets table row 5 cell – 2 end cell row cell – 3 end cell 1 end table close square brackets$
so, A^–1 = $open square brackets table row cell – 5 end cell 2 row 3 cell – 1 end cell end table close square brackets$

If A is a singular matrix, then adj A is :

maths-General

General

Maths-

Statement - I The value of x for which (sin x + cos x)^{1 + sin 2x} = 2, when 0 ≤ x ≤ , is $straight pi divided by 4$ only.
Statement - II The maximum value of sin x + cos x occurs when x = $straight pi divided by 4$

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 The value of x for which (sin x + cos x)^{1 + sin 2x} = 2, when 0 ≤ x ≤ , is $straight pi divided by 4$ only.
Statement - II The maximum value of sin x + cos x occurs when x = $straight pi divided by 4$

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 [1 2 3 ]A = [4 5], the order of matrix A is :

maths-General

General

maths-

Let A and B be 3 × 3 matrices, then AB = O implies:

maths-General

General

maths-

If A = $open square brackets table row 1 2 row 3 cell negative 5 end cell end table close square brackets$ , B = $open square brackets table row 1 0 row 0 2 end table close square brackets$ and X is a matrix such that A = B X. Then X equals

maths-General

General

maths-

If k $open square brackets table row cell negative 1 end cell 2 2 row 2 cell negative 1 end cell 2 row 2 2 cell negative 1 end cell end table close square brackets$ is an orthogonal matrix then k is equal to

maths-General

General

maths-

If f(α) = $open square brackets table row cell cos invisible function application alpha end cell cell sin invisible function application alpha end cell row cell negative sin invisible function application alpha end cell cell cos invisible function application alpha end cell end table close square brackets$ and $alpha comma beta comma gamma$ are angles of triangle then f( $alpha$ ). f( $beta$ ).f ( $gamma$ ) =

maths-General

General

maths-

If A is idempotent and A + B = I, then which of the following true?

maths-General

General

chemistry-

Which of the following is not a disporportionation reaction?

chemistry-General

General

maths-

If f( $alpha$ ) = $open square brackets table row cell cos invisible function application alpha end cell cell negative sin invisible function application alpha end cell 0 row cell sin invisible function application alpha end cell cell cos invisible function application alpha end cell 0 row 0 0 1 end table close square brackets$ , then $open square brackets f left parenthesis alpha right parenthesis close square brackets to the power of negative 1 end exponent$ =

maths-General

General

maths-

If A = $open square brackets table row 0 1 2 row 1 2 3 row 3 a 1 end table close square brackets$ and A^–1 = $open square brackets table row cell 1 divided by 2 end cell cell negative 1 divided by 2 end cell cell 1 divided by 2 end cell row cell negative 4 end cell 3 c row cell 5 divided by 2 end cell cell negative 3 divided by 2 end cell cell 1 divided by 2 end cell end table close square brackets$ then value of a and c is -

maths-General

General

maths-

A skew symmetric matrix S satisfies the relation S² + I = 0, where I is a unit matrix, then SS´ is -

maths-General

General

maths-

If the matrix $open square brackets table row 0 cell 2 beta end cell gamma row alpha beta cell negative gamma end cell row alpha cell negative beta end cell gamma end table close square brackets$ is orthogonal, then

maths-General

General

maths-

If $A equals open square brackets table row cell cos to the power of 2 end exponent invisible function application theta end cell cell cos invisible function application theta sin invisible function application theta end cell row cell cos invisible function application theta sin invisible function application theta end cell cell sin to the power of 2 end exponent invisible function application theta end cell end table close square brackets$ and $B equals open square brackets table row cell cos to the power of 2 end exponent invisible function application phi end cell cell cos invisible function application phi sin invisible function application phi end cell row cell cos invisible function application phi sin invisible function application phi end cell cell sin to the power of 2 end exponent invisible function application phi end cell end table close square brackets$ are two matrices such that the product AB is the null matrix then $theta minus ϕ$ is equal to

maths-General

General

maths-

If the lines of regression are 3x+12y=19 and 3y+9x=46 then $r subscript x y end subscript$ will be

maths-General

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If A = , then A–1 is equal to :

none of these

The correct answer is:

A–1 = |A| = – 1adj A = so, A–1 =

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If A = $open square brackets table row 1 2 row 3 5 end table close square brackets$ , then A^–1 is equal to :

$[\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}]$
$[\begin{matrix} - 5 & 3 \\ 2 & - 1 \end{matrix}]$
$[\begin{matrix} - 5 & 2 \\ 3 & - 1 \end{matrix}]$
none of these

The correct answer is: $open square brackets table row cell – 5 end cell 2 row 3 cell – 1 end cell end table close square brackets$

Statement - I The value of x for which (sin x + cos x)^{1 + sin 2x} = 2, when 0 ≤ x ≤ , is $straight pi divided by 4$ only.
Statement - II The maximum value of sin x + cos x occurs when x = $straight pi divided by 4$

Statement - I The value of x for which (sin x + cos x)^{1 + sin 2x} = 2, when 0 ≤ x ≤ , is $straight pi divided by 4$ only.
Statement - II The maximum value of sin x + cos x occurs when x = $straight pi divided by 4$

If A = $open square brackets table row 1 2 row 3 cell negative 5 end cell end table close square brackets$ , B = $open square brackets table row 1 0 row 0 2 end table close square brackets$ and X is a matrix such that A = B X. Then X equals

If A = $open square brackets table row 1 2 row 3 cell negative 5 end cell end table close square brackets$ , B = $open square brackets table row 1 0 row 0 2 end table close square brackets$ and X is a matrix such that A = B X. Then X equals

If k $open square brackets table row cell negative 1 end cell 2 2 row 2 cell negative 1 end cell 2 row 2 2 cell negative 1 end cell end table close square brackets$ is an orthogonal matrix then k is equal to

If k $open square brackets table row cell negative 1 end cell 2 2 row 2 cell negative 1 end cell 2 row 2 2 cell negative 1 end cell end table close square brackets$ is an orthogonal matrix then k is equal to

A skew symmetric matrix S satisfies the relation S² + I = 0, where I is a unit matrix, then SS´ is -

A skew symmetric matrix S satisfies the relation S² + I = 0, where I is a unit matrix, then SS´ is -

If the matrix $open square brackets table row 0 cell 2 beta end cell gamma row alpha beta cell negative gamma end cell row alpha cell negative beta end cell gamma end table close square brackets$ is orthogonal, then

If the matrix $open square brackets table row 0 cell 2 beta end cell gamma row alpha beta cell negative gamma end cell row alpha cell negative beta end cell gamma end table close square brackets$ is orthogonal, then

If the lines of regression are 3x+12y=19 and 3y+9x=46 then $r subscript x y end subscript$ will be

If the lines of regression are 3x+12y=19 and 3y+9x=46 then $r subscript x y end subscript$ will be