1.

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)]:}`.


Discussion

No Comment Found

Related InterviewSolutions