MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 17

EASY

12th CBSE

IMPORTANT

Earn 100

The matrix $[\begin{array}{r} 5 & 10 & 3 \\ - 2 & - 4 & 6 \\ - 1 & - 2 & b \end{array}]$ is a singular matrix, if the value of $b$ is

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Important Questions on Adjoint and Inverse of a Matrix

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 18

If

d

is the determinant of a square matrix

A

of order

n

, then the determinant of its adjoint is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 19

If

A

is a matrix of order

3

and

| A | = 8

, then

| adj A | =

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 20

If

A^{2} - A + I = O

, then the inverse of

A

is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 21

If

A

and

B

are invertible matrices, which of the following statement is not correct.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 22

If

A

is a square matrix such that

A^{2} = I,

then

A^{- 1}

is equal to

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 23

Let

A = [\begin{array}{r} 1 & 2 \\ 3 & - 5 \end{array}] and B = [\begin{array}{l} 1 & 0 \\ 0 & 2 \end{array}]

and

X

be a matrix such that ,

A = B X

then

X

is equal to

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 24

If $A = [\begin{array}{r} 2 & 3 \\ 5 & - 2 \end{array}]$ satisfies $A^{- 1} = k A,$ then $k =$

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 7 - Adjoint and Inverse of a Matrix>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 25

If

A = \frac{1}{3} [\begin{array}{r} 1 & 1 & 2 \\ 2 & 1 & - 2 \\ x & 2 & y \end{array}]

satisfies

A^{T} A = I,

then

x + y =