Question 11 • Advanced Algebra: Concepts and Connections
What are the values of m and n in the matrix addition? the 2 by 2 matrix, row 1, column 1, n minus 1 column 2, 6 row 2, column 1, negative 19 column 2, m plus 3 plus the 2 by 2 matrix, row 1, column 1, negative 1 column 2, 0 row 2, column 1, 16 column 2, negative 8 is equal to the 2 by 2 matrix, row 1, column 1, 10 column 2, 6 row 2, column 1, negative 3 column 2, 40
Answer
A
m is equal to 35 n is equal to 8
B
m is equal to 35 n is equal to 12
C
m is equal to 45 n is equal to 8
D
m is equal to 45 n is equal to 12
Explanation
Add corresponding entries of the matrices. From the top-left entries, (n − 1) + (−1) = 10, so n = 12. From the bottom-right entries, (m + 3) + (−8) = 40, so m = 45. Therefore, choice C, m = 45 and n = 12, is correct.
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