## EXPLORATION I Computing with Matrices Let and be matrices with and for and .

MATHEMATICS · Multi-part · CBSE · Mathematics · Matrices · Matrices

Problem

## EXPLORATION I Computing with Matrices Let

A=\left[a_{i j}\right]

and

B=\left[b_{i j}\right]

2 \times 2

matrices with

a_{i j}=3 i-j

and

b_{i j}=i^{2}+j^{2}-3

for

i=1,2

and

j=1,2

. (1) Determine

A

and

B

. (2) Determine the additive inverse

-A

A

and verify that

A+(-A)=[0]

. What is the order of

[0]

? (3) Determine

3 A-2 B