RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2

EASY

12th West Bengal Board

IMPORTANT

Earn 100

For every choice of square matrices $A$ , $B$ of the same order, $A B \neq B A$ .

50% studentsanswered this correctly

Important Questions on Elementary Theory of Matrices

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2

Any two rectangular matrices can be added, though may not be multiplied.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2

Matrix addition, when defined, is associative.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2

Product of two non-null matrices, when defined, is a non-null matrix.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2

Matrix multiplication (when defined) is distributive over matrix addition.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2

For two matrices

A

,

B

if

A B = O

then either

A = O

or

B = O

where

O

is a suitable null matrix.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 2

For any three matrices

A

,

B

,

C

of order

2

if

C A = C B

then

A = B

.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 3

The order of the singleton matrix is

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 3 - Elementary Theory of Matrices>EXERCISE>Q 3

Every diagonal matrix is