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If `A={:[(7,9),(3,8)]:}andB={:[(13),(18)]:}` then find the matrix X such that AX=B.A. `{:[(-2),(-3)]:}`B. `{:[(2),(3)]:}`C. `{:[(-2),(3)]:}`D. `{:[(2),(-3)]:}` |
Answer» Correct Answer - C `"Let X"={:[(x),(y)]:}` `AX=BrArr{:[(7,9),(3,8)]:}{:[(x),(y)]:}={:[(13),(18)]:}` `{:[(7x+9y),(3x+8y)]:}={:[(13),(18)]:}` `7x+9y=13` (1) `3x+8y=18` (2) Solving Eqs. (1) and (2), we get x=-2 and y=3 `:.x={:[(-2),(3)]:}`. |
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