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 18 11 13 ]
[ 4 16 9 19 ]
[ 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 2A3B+4C for A=[ 3 5 1 4 ] , B=[ 0 5 7 8 ] and C=[ 1 2 5 3 ]
[ 7 23 18 5 ]
[ 3 27 23 5 ]
[ 2 33 43 4 ]
[ 11 18 34 3 ]
Question 4:   Find A 2 for A=[ 2 1 3 4 ]
[ 5 3 15 16 ]
[ 7 6 18 19 ]
[ 4 1 9 16 ]
[ 4 1 9 16 ]
Question 5:   Find A 2 for A=[ 3 5 2 4 ]
[ 9 25 4 16 ]
[ 6 10 4 8 ]
[ 16 30 12 22 ]
[ 19 35 14 26 ]
Question 6:   Find ABBA , A=[ 3 1 1 4 ] , B=[ 2 5 3 6 ]
[ 0 0 0 0 ]
[ 1 30 4 5 ]
[ 2 27 7 2 ]
[ 5 24 10 1 ]
Question 7:   Find AB , A=[ 3 1 4 0 2 1 ] , B=[ 2 1 3 ]
[ 6 2 8 ]
[ 6 1 12 0 2 3 ]
[ 17 1 ]
[ 12 5 ]
Question 8:   Find AB , A=[ 2 3 1 1 4 2 ] , B=[ 2 1 2 4 3 7 ]
[ 13 7 0 29 ]
[ 4 3 2 16 ]
[ 11 8 5 4 ]
[ 7 1 1 34 ]
Question 9:   Solve: [ x 5 3 1 ]+[ 1 7 2 5 ][ 6 2 3 y ]=[ 12 7 18 8 ]
x=19,y=12
x=12,y=8
x=7,y=4
x=6,y=1
Question 10:   Solve: [ 2 4 3 5 ][ x y ]=[ 5 7 ]
{ x=2 37 66 y= 1 22
{ x=2 7 22 y= 1 22
{ x=2 9 22 y= 1 22
{ x=2 13 22 y= 1 22