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Question
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of P(Q + R)
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Solution
P =`|(1 , 2),(3 , 4)|_(2 xx 2)` , Q = `|(5 , 1),(7 , 4)|_(2 xx 2)` R = `|(2 , 1),(4 , 2)|_(2 xx 2)`
Q + R = `|(5 , 1),(7 , 4)| + |(2 , 1),(4 , 2)|`
`= |(7 , 2),(2 , 6)|`
P(Q + R) = `|(1 , 2),(3 , 4)| |(7 , 2),(2 , 6)|`
`= |(7 + 22 , 2 + 12),(21 + 44 , 6 + 24)|`
`= |(29,14),(65,30)|_(2 xx 2)`
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