Mathematics

Mathematics

Problem

## EXPLORATION I Computing with Matrices Let

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

and

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

be

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

of

A

and verify that

A+(-A)=[0]

. What is the order of

[0]

? 3. Determine

3 A-2 B

.

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