Test: Matrices II - Ambitious

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Question 1:   Find x and y : [ −2 3 4 −5 ][ x 2 7 y ]=[ 23 5 −13 −7 ]
x=−2,y=−5
x=−1,y=3
x=−10.5,y=−1 3 4
x=23,y=7
Question 2:   Find p and q : [ 3 5 4 −1 ][ p 2 2 q ]=[ 7 31 −6 3 ]
p=3,q=−1
p=7,q=3
p=−1,q=5
p=4,q=2
Question 3:   Find det⁡A if A=[ 5 7 −6 −4 ]
| A |=−20
| A |=17
| A |=22
| A |=62
Question 4:   Which of the matrices is singular?
B=[ −7 2 7 2 ]
D=[ 3 1 1 0 ]
A=[ −3 6 −4 8 ]
C=[ −5 0 0 5 ]
Question 5:   Which of the following matrices is the transpose of B , if

B=[ 2 3 −1 1 5 0 8 3 −6 5 2 5 8 7 0 −1 ] ?
B T =[ 2 5 −6 8 3 0 5 7 −1 8 2 0 1 3 5 −1 ]
B T =[ 8 7 0 −1 −6 5 2 5 5 0 8 3 2 3 −1 1 ]
B T =[ 1 −1 3 2 3 8 0 5 5 2 5 −6 −1 0 7 8 ]
B T =[ 1 3 5 −1 −1 8 2 0 3 0 5 7 2 5 −6 8 ]
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