Test: Matrices I - Ambitious

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Question 1:   Find 2A+3B for A=[ 2 3 1 5 ] and B=[ 0 4 3 1 ]
[ 4 16 9 19 ]
[ 4 18 11 13 ]
[ 4 17 10 21 ]
[ 4 12 15 −4 ]
Question 2:   Find 1 2 A− 1 3 B for A=[ 4 2 6 8 ] and B=[ 9 15 12 6 ]
[ −1 −4 −1 2 ]
[ 1 −3 −2 4 ]
[ 2 −1 4 −1 ]
[ −2 −5 −3 4 ]
Question 3:   Find 2A−3B+4C for A=[ 3 5 −1 4 ] , B=[ 0 −5 7 8 ] and C=[ −1 2 −5 3 ]
[ −11 18 −34 3 ]
[ 2 33 −43 −4 ]
[ 3 27 −23 5 ]
[ 7 −23 18 5 ]
Question 4:   Find A 2 for A=[ 2 1 3 4 ]
[ 4 1 9 16 ]
[ 7 6 18 19 ]
[ 4 1 9 16 ]
[ 5 3 15 16 ]
Question 5:   Find A 2 for A=[ −3 5 2 −4 ]
[ −6 10 4 −8 ]
[ 9 25 4 16 ]
[ 16 −30 −12 22 ]
[ 19 −35 −14 26 ]
Question 6:   Find AB−BA , A=[ 3 −1 1 4 ] , B=[ 2 5 −3 6 ]
[ −2 27 −7 2 ]
[ 1 30 −4 5 ]
[ −5 24 −10 −1 ]
[ 0 0 0 0 ]
Question 7:   Find AB , A=[ 3 1 4 0 −2 −1 ] , B=[ 2 −1 3 ]
[ 17 −1 ]
[ 6 2 8 ]
[ 6 −1 12 0 2 −3 ]
[ 12 5 ]
Question 8:   Find AB , A=[ 2 −3 1 1 4 2 ] , B=[ 2 −1 −2 4 3 7 ]
[ 13 −7 0 29 ]
[ 7 −1 1 34 ]
[ 4 3 −2 16 ]
[ 11 8 5 −4 ]
Question 9:   Solve: [ x 5 3 −1 ]+[ −1 −7 2 5 ]−[ −6 2 3 y ]=[ 12 −7 18 8 ]
x=19,y=12
x=−6,y=−1
x=12,y=8
x=7,y=−4
Question 10:   Solve: [ −2 4 3 5 ][ x y ]=[ −5 7 ]
{ x=2 9 22 y= 1 22
{ x=2 7 22 y=− 1 22
{ x=2 37 66 y=− 1 22
{ x=2 13 22 y=− 1 22