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If A = $open square brackets table row 2 cell – 1 end cell row cell – 1 end cell 2 end table close square brackets$ and A² – 4A – n I = 0, then n is equal to

$\frac{1}{3}$
$- \frac{1}{3}$
– 3
3

The correct answer is: – 3

$open vertical bar table row cell 2 – lambda end cell cell – 1 end cell row cell – 1 end cell cell 2 – lambda end cell end table close vertical bar$ = 0
4 + $lambda squared$ – 4 $lambda$ – 1 = 0
$lambda squared$ – 4 $lambda$ + 3 = 0
A² – 4A + 3I = 0
–n = 3 & n = – 3

The value of x for which the matrix product $open square brackets table attributes columnalign center center center columnspacing 1em end attributes row 2 0 7 row 0 1 0 row 1 cell negative 2 end cell 1 end table close square brackets$ $open square brackets table row cell – x end cell cell 14 x end cell cell 7 x end cell row 0 1 0 row x cell – 4 x end cell cell – 2 x end cell end table close square brackets$ equal an identity matrix is :

maths-General

General

maths-

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

maths-General

General

maths-

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

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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

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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

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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

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Can’t find what you’re looking for?

If A = and A2 – 4A – n I = 0, then n is equal to

– 3 3

The correct answer is: – 3

= 04 + – 4 – 1 = 0– 4 + 3 = 0A2 – 4A + 3I = 0–n = 3 & n = – 3

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

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Statement - I The value of x for which (sin x + cos x)1 + sin 2x = 2, when 0 ≤ x ≤ , is only.Statement - II The maximum value of sin x + cos x occurs when x =

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

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

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

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If A = $open square brackets table row 2 cell – 1 end cell row cell – 1 end cell 2 end table close square brackets$ and A² – 4A – n I = 0, then n is equal to

$\frac{1}{3}$
$- \frac{1}{3}$
– 3
3

$open vertical bar table row cell 2 – lambda end cell cell – 1 end cell row cell – 1 end cell cell 2 – lambda end cell end table close vertical bar$ = 0
4 + $lambda squared$ – 4 $lambda$ – 1 = 0
$lambda squared$ – 4 $lambda$ + 3 = 0
A² – 4A + 3I = 0
–n = 3 & n = – 3

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

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

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