Evaluate the determinant of each of the following matrices: a. [[5,6],[7,3]] b. [[2,4],[-3,-5]]

rocedwrp 2020-11-22 Answered
Evaluate the determinant of each of the following matrices:
a. [[5,6],[7,3]]
b. [[2,4],[3,5]]
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Expert Answer

doplovif
Answered 2020-11-23 Author has 71 answers
a) To calculate the determinant according to the formula,
det[[a,b],[c,d]]=adbc
So, [[5,6],[7,3]]=5367
=15-42
=-27
Hence the determinant of the matrices is -27
b) To calculate the determinant,
[[2,4],[3,5]]=2(5)4(3)
=-10+12
=2
Hence the determinant of the given matrices is 2
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