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=10.5,y=1 3 4
x=1,y=3
x=23,y=7
x=2,y=5
Question 2:   Find p and q : [ 3 5 4 1 ][ p 2 2 q ]=[ 7 31 6 3 ]
p=3,q=1
p=4,q=2
p=1,q=5
p=7,q=3
Question 3:   Find detA if A=[ 5 7 6 4 ]
| A |=62
| A |=20
| A |=17
| A |=22
Question 4:   Which of the matrices is singular?
A=[ 3 6 4 8 ]
C=[ 5 0 0 5 ]
D=[ 3 1 1 0 ]
B=[ 7 2 7 2 ]
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 =[ 1 3 5 1 1 8 2 0 3 0 5 7 2 5 6 8 ]
B T =[ 2 5 6 8 3 0 5 7 1 8 2 0 1 3 5 1 ]
B T =[ 1 1 3 2 3 8 0 5 5 2 5 6 1 0 7 8 ]
B T =[ 8 7 0 1 6 5 2 5 5 0 8 3 2 3 1 1 ]
Question 6:   Find the transpose A T , if A=[ 3 0 6 1 1 2 5 2 7 ]
A T =[ 7 2 6 2 1 0 5 1 3 ]
A T =[ 3 1 5 0 1 2 6 2 7 ]
A T =[ 6 0 3 2 1 1 7 2 5 ]
A T =[ 5 2 7 1 1 2 3 0 6 ]
Question 7:   Which of the following is inverse of A , if A=[ 3 5 2 1 ] ?
A 1 =[ 3 2 1 5 ]
A 1 =[ 3 7 2 7 5 7 1 7 ]
A 1 =[ 1 7 5 7 2 7 3 7 ]
A 1 =[ 1 5 2 3 ]
Question 8:   Find the inverse of A , if A=[ 1 4 2 3 ]
A 1 =[ 2 5 1 5 3 5 4 5 ]
A 1 =[ 3 5 4 5 2 5 1 5 ]
A 1 =[ 3 4 2 1 ]
A 1 =[ 2 1 3 4 ]
Question 9:   Solve: 8 A 1 , if A=[ 2 2 1 3 ]
[ 3 2 1 2 ]
[ 3 64 1 24 1 64 1 24 ]
[ 3 8 1 4 1 8 1 4 ]
[ 1 2 3 2 ]
Question 10:   Find 2 C 1 , if C=[ 2 2 5 5 ]
[ 0 0 0 0 ]
[ 1 0 0 1 ]
[ 5 2 2 5 ]
Not defined