GATE 2014 EC (EC2) – Question 11
det(A) = 5 and det(B) = 40. Find det(AB).
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Correct answer: 199 to 201
Explanation
For square matrices of the same order, determinants multiply:det(AB)=det(A)det(B). The supplied determinants5and40therefore give **200**. Matrix multiplication need not commute, but this determinant identity does not require commutativity.