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Question
Evaluate:
`2[(-1 0)/(2 -3)] +[(3 3)/(5 0)]`
Solution
`2[(-1 0)/(2 -3)] +[(3 3)/(5 0)]`
det `((-1,0),(2,-3))`
det = ad − bc
Substitute the values from the matrix:
`det ((-1,0),(2,-3)) = (-1) (-3) - (0) (2) = 3`
Thus, the first part of the expression is:
`2 [(-1 0)/(2-3)] = 2 xx 3 = 6`
det `((3,3),(5,0))`
det = ad − bc
Substitute the values:
`det ((3,3),(5,0)) = (3) (0) - (3) (5) = 0 - 15 = -15`
Thus, the second part of the expression is:
`[(3 3)/(5 0)] = -15`
Combine the results
6 + (−15) = 6 − 15 = −9
The value of the given expression is: −9
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