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If A={:[(7,9),(3,8)]:}andB={:[(13),(18)]...

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)]:}`

Text Solution

Verified by Experts

The correct Answer is:
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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