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Class 12 Matrices · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Matrices · Assertion Reason #27

Assertion: If \(\begin{bmatrix}x²−4x & x²\\x² & x³\end{bmatrix}\)=\(\begin{bmatrix}-3 & 1\\−x+2 & 1\end{bmatrix}\), for real x, then x=1. Reason: Two matrices of the same order are equal if and only if all corresponding entries are equal.

✅ Step-by-Step Solution

Final Answer: Option (A): Both A and R are true, and R correctly explains A.
  1. Corresponding entries give x²−4x=−3, x²=1, x²=−x+2 and x³=1. Their common real solution is x=1; all four equations hold there.

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