Question 5 [20 marks]. Let

A =

0 −1 3

1 0 −3

1 2 0

, B =

3 −2

−3 1

2 −1

and C =

−2 −2 3

2 1 0

−1 1 −2

.

(a) For each of the expressions B

2

, BA, CB, CA, A−4B, and −A+5C, state whether or not

it exists, and if it exists then evaluate it.

A =

0 −1 3

1 0 −3

1 2 0

, B =

3 −2

−3 1

2 −1

and C =

−2 −2 3

2 1 0

−1 1 −2

.

(a) For each of the expressions B

2

, BA, CB, CA, A−4B, and −A+5C, state whether or not

it exists, and if it exists then evaluate it.

Original post by theoneandonlyyo

Question 5 [20 marks]. Let

A =

0 −1 3

1 0 −3

1 2 0

, B =

3 −2

−3 1

2 −1

and C =

−2 −2 3

2 1 0

−1 1 −2

.

(a) For each of the expressions B

2

, BA, CB, CA, A−4B, and −A+5C, state whether or not

it exists, and if it exists then evaluate it.

A =

0 −1 3

1 0 −3

1 2 0

, B =

3 −2

−3 1

2 −1

and C =

−2 −2 3

2 1 0

−1 1 −2

.

(a) For each of the expressions B

2

, BA, CB, CA, A−4B, and −A+5C, state whether or not

it exists, and if it exists then evaluate it.

your formatting hasn't come out very well - are these supposed to be matrices or something else? Can you upload a picture of the question?

Original post by davros

your formatting hasn't come out very well - are these supposed to be matrices or something else? Can you upload a picture of the question?

Yes sorry about that.

What have you tried? Looks like a standard "can you do matrix addition/multiplication" exercise.

In case you forgot a quirk about matrix algebra...

In case you forgot a quirk about matrix algebra...

Spoiler

Original post by theoneandonlyyo

Yes sorry about that.

As tony says, this is just a "bookwork" question - what rules need to be satisfied so that you can add or multiply two matrices? This should be in your textbook or course notes; failing that, a quick google will probably tell you the answer on the first line of the search results

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