Maths-

General

Easy

Question

If B is non-singular matrix and A is a square matrix of same size, then det (B^–1AB) =

|A^–1|
|B^–1|
|B|
|A|

The correct answer is: |A|

|B^–1 .A.B| = |B^–1|. |A| . |B|
= (|B^–1|. |B|). |A|
= 1 × |A| ( $because$ |B^–1|. |B| = 1)
= |A|

If A satisfies the equation x³ – 5x² + 4x + k = 0, then A^–1 exists if -

maths-General

General

Maths-

If 3A = $open square brackets table row 1 2 2 row 2 1 cell – 2 end cell row x 2 y end table close square brackets$ and A is orthogonal, then x + y =

Maths-General

General

maths-

If A, B are symmetric matrices of the same order then (AB – BA) is -

maths-General

General

maths-

If A = $open square brackets table row 4 cell x plus 2 end cell row cell 2 x – 3 end cell cell x plus 1 end cell end table close square brackets$ is symmetric, then x =

maths-General

General

Maths-

If the rank of the matrix $open square brackets table row 4 2 cell 1 minus x end cell row 5 k 1 row 6 3 cell 1 plus x end cell end table close square brackets$ is 2 then

Maths-General

General

Maths-

If A = $open square brackets table row cell cos invisible function application theta end cell cell – sin invisible function application theta end cell row cell sin invisible function application theta end cell cell cos invisible function application theta end cell end table close square brackets$ , then A^T + A = I₂, if –

Maths-General

General

maths-

If A = $open square brackets table row alpha 0 row 1 1 end table close square brackets$ and B = $open square brackets table row 1 0 row 3 1 end table close square brackets$ , then value of $alpha$ for which A² = B is:

maths-General

General

chemistry-

Which of the following has no action with starch solution?

chemistry-General

General

Maths-

Let three matrices A = $open square brackets table row 2 1 row 4 1 end table close square brackets$ ; B = $open square brackets table row 3 4 row 2 3 end table close square brackets$ and C = $open square brackets table row 3 cell – 4 end cell row cell – 2 end cell 3 end table close square brackets$ then t_r(A) + t_r $open parentheses fraction numerator A B C over denominator 2 end fraction close parentheses$ + t_r $open parentheses fraction numerator A left parenthesis B C right parenthesis to the power of 2 end exponent over denominator 4 end fraction close parentheses$ + t_r $open parentheses fraction numerator A left parenthesis B C right parenthesis to the power of 3 end exponent over denominator 8 end fraction close parentheses$ + ....... + $straight infinity$ =

Maths-General

General

Maths-

A = $open square brackets table row 1 cell tan invisible function application x end cell row cell – tan invisible function application x end cell 1 end table close square brackets$ then let us define a function f(x) = dt.(A^TA^–1) then which of the following can not be the value of $fraction numerator f open parentheses f open parentheses f open parentheses f............ f left parenthesis x right parenthesis close parentheses close parentheses close parentheses over denominator n t i m e s end fraction$ is (n ≥ 2)

Maths-General

General

Maths-

Let A, B, C, D be (not necessarily square) real matrices such that A^T = BCD; B^T = CDA; C^T = DAB and D^T = ABC for the matrix S = ABCD, consider the two statements.
I. S³ = S
II. S² = S⁴

Maths-General

General

Maths-

Let A = $open square brackets table row 1 cell sin invisible function application theta end cell 1 row cell – sin invisible function application theta end cell 1 cell sin invisible function application theta end cell row cell – 1 end cell cell – sin invisible function application theta end cell 1 end table close square brackets$ , where 0 ≤ θ < 2 $pi$ , then

Maths-General

General

Maths-

If A is matrix such that A² + A + 2I = O, then which of the following is INCORRECT ?
(Where I is unit matrix of orde r 2 and O is null matrix of order 2)

inverse of a matrix exists when the determinant of the matrix is 0.
any matrix multiplied by the identity matrix of the same order gives the same matrix.

If A is matrix such that A² + A + 2I = O, then which of the following is INCORRECT ?
(Where I is unit matrix of orde r 2 and O is null matrix of order 2)

Maths-General

inverse of a matrix exists when the determinant of the matrix is 0.
any matrix multiplied by the identity matrix of the same order gives the same matrix.

General

Maths-

Identify the incorrect statement in respect of two square matrices A and B conformable for sum and product.

trace of a matrix is the sum of the diagonal elements of a matrix.

Identify the incorrect statement in respect of two square matrices A and B conformable for sum and product.

Maths-General

trace of a matrix is the sum of the diagonal elements of a matrix.

General

chemistry-

In the reaction $3 Br subscript 2 plus 6 CO subscript 3 superscript 2 minus end superscript plus 3 straight H subscript 2 straight O not stretchy rightwards arrow 5 Br to the power of ⊖ plus BrO subscript 3 superscript ⊖ plus 6 HCO subscript 3 superscript ⊖$

chemistry-General

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If B is non-singular matrix and A is a square matrix of same size, then det (B–1 AB) =

|A–1| |B–1| |B| |A|

The correct answer is: |A|

|B–1 .A.B| = |B–1|. |A| . |B|= (|B–1|. |B|). |A|= 1 × |A| ( |B–1|. |B| = 1)= |A|

Related Questions to study

If A satisfies the equation x3 – 5x2 + 4x + k = 0, then A–1 exists if -

If A satisfies the equation x3 – 5x2 + 4x + k = 0, then A–1 exists if -

If 3A = and A is orthogonal, then x + y =

If 3A = and A is orthogonal, then x + y =

If A, B are symmetric matrices of the same order then (AB – BA) is -

If A, B are symmetric matrices of the same order then (AB – BA) is -

If A = is symmetric, then x =

If A = is symmetric, then x =

If the rank of the matrix is 2 then

If the rank of the matrix is 2 then

If A = , then AT + A = I2, if –

If A = , then AT + A = I2, if –

If A = and B = , then value of for which A2 = B is:

If A = and B = , then value of for which A2 = B is:

Which of the following has no action with starch solution?

Which of the following has no action with starch solution?

Let three matrices A = ; B = and C = then tr(A) + tr + tr + tr+ ....... + =

Let three matrices A = ; B = and C = then tr(A) + tr + tr + tr+ ....... + =

A = then let us define a function f(x) = dt.(ATA–1) then which of the following can not be the value of is (n ≥ 2)

A = then let us define a function f(x) = dt.(ATA–1) then which of the following can not be the value of is (n ≥ 2)

Let A, B, C, D be (not necessarily square) real matrices such that AT = BCD; BT = CDA; CT = DAB and DT = ABC for the matrix S = ABCD, consider the two statements.I. S3 = SII. S2 = S4

Let A, B, C, D be (not necessarily square) real matrices such that AT = BCD; BT = CDA; CT = DAB and DT = ABC for the matrix S = ABCD, consider the two statements.I. S3 = SII. S2 = S4

Let A =, where 0 ≤ θ < 2, then

Let A =, where 0 ≤ θ < 2, then

If A is matrix such that A2 + A + 2I = O, then which of the following is INCORRECT ?(Where I is unit matrix of orde r 2 and O is null matrix of order 2)

If A is matrix such that A2 + A + 2I = O, then which of the following is INCORRECT ?(Where I is unit matrix of orde r 2 and O is null matrix of order 2)

Identify the incorrect statement in respect of two square matrices A and B conformable for sum and product.

Identify the incorrect statement in respect of two square matrices A and B conformable for sum and product.

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If B is non-singular matrix and A is a square matrix of same size, then det (B^–1AB) =

|A^–1|
|B^–1|
|B|
|A|

|B^–1 .A.B| = |B^–1|. |A| . |B|
= (|B^–1|. |B|). |A|
= 1 × |A| ( $because$ |B^–1|. |B| = 1)
= |A|

If A satisfies the equation x³ – 5x² + 4x + k = 0, then A^–1 exists if -

If A satisfies the equation x³ – 5x² + 4x + k = 0, then A^–1 exists if -

If 3A = $open square brackets table row 1 2 2 row 2 1 cell – 2 end cell row x 2 y end table close square brackets$ and A is orthogonal, then x + y =

If 3A = $open square brackets table row 1 2 2 row 2 1 cell – 2 end cell row x 2 y end table close square brackets$ and A is orthogonal, then x + y =

If A = $open square brackets table row 4 cell x plus 2 end cell row cell 2 x – 3 end cell cell x plus 1 end cell end table close square brackets$ is symmetric, then x =

If A = $open square brackets table row 4 cell x plus 2 end cell row cell 2 x – 3 end cell cell x plus 1 end cell end table close square brackets$ is symmetric, then x =

If the rank of the matrix $open square brackets table row 4 2 cell 1 minus x end cell row 5 k 1 row 6 3 cell 1 plus x end cell end table close square brackets$ is 2 then

If the rank of the matrix $open square brackets table row 4 2 cell 1 minus x end cell row 5 k 1 row 6 3 cell 1 plus x end cell end table close square brackets$ is 2 then

If A = $open square brackets table row alpha 0 row 1 1 end table close square brackets$ and B = $open square brackets table row 1 0 row 3 1 end table close square brackets$ , then value of $alpha$ for which A² = B is:

If A = $open square brackets table row alpha 0 row 1 1 end table close square brackets$ and B = $open square brackets table row 1 0 row 3 1 end table close square brackets$ , then value of $alpha$ for which A² = B is:

Let A, B, C, D be (not necessarily square) real matrices such that A^T = BCD; B^T = CDA; C^T = DAB and D^T = ABC for the matrix S = ABCD, consider the two statements.
I. S³ = S
II. S² = S⁴

Let A, B, C, D be (not necessarily square) real matrices such that A^T = BCD; B^T = CDA; C^T = DAB and D^T = ABC for the matrix S = ABCD, consider the two statements.
I. S³ = S
II. S² = S⁴

If A is matrix such that A² + A + 2I = O, then which of the following is INCORRECT ?
(Where I is unit matrix of orde r 2 and O is null matrix of order 2)

If A is matrix such that A² + A + 2I = O, then which of the following is INCORRECT ?
(Where I is unit matrix of orde r 2 and O is null matrix of order 2)

In the reaction $3 Br subscript 2 plus 6 CO subscript 3 superscript 2 minus end superscript plus 3 straight H subscript 2 straight O not stretchy rightwards arrow 5 Br to the power of ⊖ plus BrO subscript 3 superscript ⊖ plus 6 HCO subscript 3 superscript ⊖$

In the reaction $3 Br subscript 2 plus 6 CO subscript 3 superscript 2 minus end superscript plus 3 straight H subscript 2 straight O not stretchy rightwards arrow 5 Br to the power of ⊖ plus BrO subscript 3 superscript ⊖ plus 6 HCO subscript 3 superscript ⊖$