Class 12 Determinants · Assertion Reason1 Marksassertion_reason
Class 12 Maths · Determinants · Assertion Reason #30
Assertion: The equations 2x−y=17 and 3x+5y=6 have solution x=7,y=−3.
Reason: For AX=B with det(A)≠0, the solution is X=A⁻¹B.
✅ Step-by-Step Solution
Final Answer: Option (A): Both A and R are true, and R correctly explains A.
- Here A⁻¹=(1/13)[[5,1],[−3,2]], so A⁻¹[17,6]ᵀ=[7,−3]ᵀ; the reason supplies the solving method.
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