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Statement 1: If ' ' is an invertible matrix, then Statement 2: If ' ' is an invertible matrix, then

Mathematics20251 markMCQ
Statement 1: If '$A$' is an invertible matrix, then $(A^2)^{-1} = (A^{-1})^2$ Statement 2: If '$A$' is an invertible matrix, then $|A^{-1}| = |A|^{-1}$
  • (a)Statement 1 is true and Statement 2 is false.
  • (b)Statement 2 is true and Statement 1 is false.
  • (c)Both the statements are true.
  • (d)Both the statements are false.

Answer

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Matrices

From ISC 2025 Mathematics Paper 1, question 1(xi).