RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 5 - Adjoint and Inverse of a Matrix>EXERCISE>Q 1

EASY

12th West Bengal Board

IMPORTANT

Earn 100

Inverse of a given non-singular square matrix of order $2$ is a non-singular matrix of order $2$ . ( symmetric / unique )

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Important Questions on Adjoint and Inverse of a Matrix

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 5 - Adjoint and Inverse of a Matrix>EXERCISE>Q 1

For a square matrix

A

of order

2

, if

A^{2} = I_{2}

then

A^{- 1} =

_____.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 5 - Adjoint and Inverse of a Matrix>EXERCISE>Q 1

A necessary and sufficient condition for the existence of inverse of a

2 \times 2

matrix

A = (\begin{matrix} a & b \\ c & d \end{matrix})

is

a d

_____

b c

.

(Equal / Not Equal)

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 5 - Adjoint and Inverse of a Matrix>EXERCISE>Q 1

Inverse of a lower triangular matrix (when exists) is _____ triangular. (lower / upper)

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 5 - Adjoint and Inverse of a Matrix>EXERCISE>Q 1

In the determinant value of a square matrix (of order

3

) is zero then the matrix is called _____. (non singular matrix / singular matrix)

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 5 - Adjoint and Inverse of a Matrix>EXERCISE>Q 2

The matrix

(\begin{matrix} π & \frac{22}{7} \\ 1 & 1 \end{matrix})

is invertible.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 5 - Adjoint and Inverse of a Matrix>EXERCISE>Q 2

Every non-singular square matrix of order

2

has inverse.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 5 - Adjoint and Inverse of a Matrix>EXERCISE>Q 2

There may be more than one inverses of a non-singular square matrix of order

2

.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 5 - Adjoint and Inverse of a Matrix>EXERCISE>Q 2

Inverse of an upper triangular matrix (when exists) is always upper triangular.