Question
Download Solution PDFIf AB = C, then what is A2 equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Multiplication of matrices:
- The number of columns of the 1st matrix must equal the number of rows of the 2nd matrix.
- The result will have the same number of rows as the 1st matrix, and the same number of columns as the 2nd matrix.
- To multiply an m × n matrix by an n × p matrix, the n must be the same, and the result is an m × p matrix.
Calculation:
Given: AB = C
So, 3x + y = 4 …. (1)
x + 2y = -2 …. (2)
Solving equation 1 and 2, we get
x = 2 and y = -2
Now,
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