Question one: LetA=[1

0

0

i

8

0

]

A=[1080i0]. LetB=[146095i

2

0

1

]

B=[146095i021].

SimplifyAA

T

+2B

AAT+2Bas much as possible.

Question two: LetA=[1

146095

3

1

]

A=[131460951].

FindA

1

A1using the method described in Part 2 of Week 6. Show your work and specify all entries asfractions, not decimals.

(Note that using any other method will result in 0 point for the question.)

Question three: LetA

Adenote the matrix given by the matrix product[a

i

][a

146095i

]

[ai][a146095i], wherea

ais a real number. Find all values ofa

asuch that the(1,1)

(1,1)-entry ofA

Ais equal to145995

145995.

Question four: LetA=[8

0

146095

10

]

2

.

A=[8146095010]2.

What is the(1,2)

(1,2)-entry ofA

A? Justify your answer.

Using a code not assigned to you will result in a grade of zero for the entire submission. 1.(1point)LetA: 1 9 8 .LetB: 146095\" 0. 0 z 0 2 1 Simplify AAT + 2B as much as possible. [CU21PSOS-146095] 24 (1 point) Let A = 1 3 . 146095 1 Find A'1 using the method described in Part 2 of Week 6. Show your work and specify all entries as fractions, not decimals. (Note that using any other method will result in 0 point for the question.) [CU21PSO3-146095] a , ,where a is a real number. Find all values ofa such that the (1,1)-entry of A is equal to 1460957, 3. (1 point) Let A denote the matrix given by the matrix product [a i] [ 7145995. [CU21P803-146095] 2 4. (1 point) Let A : 8 146095 . 0 10 What is the (1, 2)-entry of A? Justify your answer. [CU21PSO3-146095]