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ID:
Class: 12
Subject: Math
Topic: Matrices and Determinants
Type: Mcq
Year: 2025
Question:
If \[ A = \begin{pmatrix} 7 & 0 & x \\ 0 & 7 & 0 \\ 0 & 0 & y \end{pmatrix} \] is a scalar matrix, then \(y^x\) is equal to
A.
\(0\)
B.
\(1\)
C.
\(7\)
D.
\(\pm 7\)
Official Solution
Correct Answer:
\(1\)
Explanation:
A scalar matrix is a diagonal matrix where all the elements on the main diagonal are equal, and all non-diagonal elements are zero.
Here \(x=0\) and \(y=7\), So \(y^x\) is equal to 1
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