1. (a) Construct the matrix Upper A equals left bracket Upper A Subscript ij right bracketA=Aij if A is 2*3 and
Upper A Subscript ij Baseline equals negative i plus 4 jAij=−i+4j.
(b) Construct the 2*4 matrix Upper C equals left bracket left parenthesis 3 i plus j right parenthesis squared right bracketC=(3i+j)2.
2.
Solve the following matrix equation.
left bracket Start 2 By 2 Matrix 1st Row 1st Column 3 x 2nd Column 4 y minus 5 2nd Row 1st Column z 2nd Column 4 w EndMatrix right bracket equals left bracket Start 2 By 2 Matrix 1st Row 1st Column 12 2nd Column 10 2nd Row 1st Column 8 2nd Column 16 EndMatrix right bracket
3x | 4y−1 |
z | 6w |
=
15 | 10 |
7 | 18 |
x=
y=
z=
w=
3.
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