imo class 12 matrices

If matrix A is symmetric, then the matrix kA (where k is a scalar) is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If matrix A is symmetric, then the matrix kA (where k is a scalar) is:

  • A. Skew-symmetric
  • B. Symmetric
  • C. Diagonal
  • D. Zero matrix

Answer: B) Symmetric

Explanation: If A' = A, then the transpose of kA is (kA)' = k(A') = kA. Hence, kA is also a symmetric matrix.

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