SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12>Chapter 8 - System of Linear Equations>OBJECTIVE QUESTIONS>Q 18

EASY

12th CBSE

IMPORTANT

Earn 100

If $A$ and $B$ are symmetric matrices of the same order then $(A B - B A)$ is always

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Important Questions on System of Linear Equations

EASY

12th CBSE

IMPORTANT

SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12>Chapter 8 - System of Linear Equations>OBJECTIVE QUESTIONS>Q 19

Matrices

A

and

B

are inverses of each other only when

EASY

12th CBSE

IMPORTANT

SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12>Chapter 8 - System of Linear Equations>OBJECTIVE QUESTIONS>Q 20

For square matrices

A

and

B

of the same order, we have

adj (A B) =

?

EASY

12th CBSE

IMPORTANT

SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12>Chapter 8 - System of Linear Equations>OBJECTIVE QUESTIONS>Q 21

If

A

is a

3 -

rowed square matrix and

| A | = 4

, then

adj (adj A) = ?

EASY

12th CBSE

IMPORTANT

SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12>Chapter 8 - System of Linear Equations>OBJECTIVE QUESTIONS>Q 22

If

A

is a

3 -

rowed square matrix and

|A| = 5

, then

|adj A| = ?

MEDIUM

12th CBSE

IMPORTANT

SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12>Chapter 8 - System of Linear Equations>OBJECTIVE QUESTIONS>Q 23

For any two matrices

A

and

B

,

MEDIUM

12th CBSE

IMPORTANT

SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12>Chapter 8 - System of Linear Equations>OBJECTIVE QUESTIONS>Q 24

If

A \cdot [\begin{array}{r} 3 & 2 \\ 1 & - 1 \end{array}] = [\begin{matrix} 4 & 1 \\ 2 & 3 \end{matrix}]

, then

A =

?

EASY

12th CBSE

IMPORTANT

SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12>Chapter 8 - System of Linear Equations>OBJECTIVE QUESTIONS>Q 25

If

A

is an invertible square matrix, then

|A^{- 1}| =

?

EASY

12th CBSE

IMPORTANT

SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12>Chapter 8 - System of Linear Equations>OBJECTIVE QUESTIONS>Q 26

If

A

and

B

are invertible matrices of the same order, then

(A B)^{- 1} =

?