Concept:Matrix addition and scalar multiplication are performed element by element.First multiply matrix B by scalar 2, then add the result to matrix A.Explanation:Given:A=(25−4130),B=(1−343−2−1)Step 1: Multiply each entry of B by 2.2B=(2(1)2(−3)2(4)2(3)2(−2)2(−1))=(2−686−4−2)Step 2: Add the corresponding entries of A and 2B.Row 1: 2+2=4, −4+8=4, 3+(−4)=−1.Row 2: 5+(−6)=−1, 1+6=7, 0+(−2)=−2.Thus,A+2B=(4−147−1−2)Answer:The correct result is option A: (4−147−1−2).