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if A[{:(1 " "3),(-2" " 4):}] and B=[{:(3...

if `A[{:(1 " "3),(-2" " 4):}] and B=[{:(3" "0),(-1" "2):}]`, then find 5A - 2B .

Text Solution

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`5A =5[{:(1" "3),(-2" "4):}]=[{:(5" "15),(-10" "20):}]`
and `2B =2[{:(3,0),(-1,2):}]=[{:(6,0),(-2,4):}]`
`therefore 5A-2B =[{:(5,15),(-10,20):}]-[{:(6,0),(-2,4):}]`
`=[{:(5-6,15-0),(-10+2,20-4):}]=[{:(-1,15),(-8,16):}].`
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