math111_logo Vector and Matrix


Exercise Compute.

Answer

[ 1 ] - [ 5 ] = [ -4 ], [ 2 ] - [ 7 ] = [ -5 ], 3[ 1 ] - 5[ 5 ] = [ -22 ], 3[ 2 ] - 5[ 7 ] = [ -29 ]
3 6 -3 4 8 -4 3 6 -21 4 8 -28
[ 1 2 ] - [ 5 7 ] = [ -4 -5 ], 3[ 1 2 ] - 5[ 5 7 ] = [ -22 -29 ]
3 4 6 8 -3 -4 3 4 6 8 -21 -28
[ 0 -2 3 ] + [ 2 0 -1 ] = [ 2 -2 2 ], -2[ 0 -2 3 ] + 3[ 2 0 -1 ] = [ 4 4 -9 ]
1 0 -3 0 4 -3 1 4 -6 1 0 -3 0 4 -3 -2 12 -15
2 -2 2 3 -3 0 5 -5 2 2 -2 2 3 -3 0 5 -5 -4
a[ 1 0 0 ] + b[ 0 0 0 ] + c[ 0 0 0 ] = [ a 0 0 ]
0 0 0 0 1 0 0 0 0 0 b 0
0 0 0 0 0 0 0 0 1 0 0 c
a11[ 1 0 ] + a12[ 0 1 ] + a21[ 0 0 ] + a22[ 0 0 ] = [ a11 a12 ]
0 0 0 0 1 0 0 1 a21 a22
[ 1 -3 5 10 ] + [ 4 -9 8 ] = ?, 12[           ] - 13[ 0 0 0 0 0 ] = ?
0 5 1 -7 4 0 3 0 0 0 0 0 0 0 0 0 0
1 0 9 -3 1 4 0 0 0 0 0 0 0 0 0 0 0
2 0 1 0 0 0 4 0 0 0 0 0 0 0 0 0 0
-6 3 0 0 0 5 3           0 0 0 0 0

The last two are meaningless because the sizes do not match.