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📐 Mathematics  ·  Matrices  ·  JEE

The matrix [[1,0,0],[0,2,0],[0,0,3]] is an example of a:

Answer: Diagonal matrix.

  • A Identity matrix
  • B Scalar matrix
  • C Null matrix
  • D Diagonal matrix

Correct answer: D. Diagonal matrix

Explanation: This is a diagonal matrix because all off-diagonal elements are zero. It is not a scalar matrix because the diagonal values differ.

Matrix A (3 rows x 3 columns)a11a12a13a21a22a23a31a32a33column 1column 2column 3row 1row 2row 3

Element aij of matrix A sits at the intersection of row i and column j.

Concept context

Matrix operations, determinants, inverses, and solving linear systems

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