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MathsMediumMCQ2023 ยท 30 Jan Shift 1

Q71.Let ๐ด= ๐‘‘= ๐ดโ‰ 0 and ๐ด- d Adj ๐ด= 0. Then ๐‘ ๐‘ž, (1) 1 + ๐‘‘2 = ๐‘š+ ๐‘ž2 (2) 1 + ๐‘‘2 = ๐‘š+ ๐‘ž2 (3) 1 + ๐‘‘2 = ๐‘š2 + ๐‘ž2 (4) 1 + ๐‘‘2 = ๐‘š2 + ๐‘ž2

What This Question Tests

This question tests the fundamental property of adjoint matrices, A * Adj(A) = det(A) * I, and requires equating matrix elements to find a relationship between the matrix elements and its determinant.

Concepts Tested

Determinant of a matrixAdjoint of a matrixMatrix equation

Formulas Used

A * Adj(A) = det(A) * I

det(A) = mq - np

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