Concept explainers
To fill: The blank in the statement “To find the product AB of two matrices A and B , the number of _____ in matrixA must be equal to number of _____ in matrix B .”.
Answer to Problem 3AYU
The complete statement is “To find the product AB of two matrices A and B , the number of column in matrix A must be equal to number of rowsin matrix B.”
Explanation of Solution
Given information:
The statement “To find the product AB of two matrices A and B , the number of _____ in matrix A must be equal to number of _____ in matrix B.”
Consider the provided statement “To find the product AB of two matrices A and B , the number of _____ in matrix A must be equal to number of _____ in matrix B.”
In a matrix elements written horizontal form a part of row and elements written in the vertical form a part of column.
When two matrices are multiplied together they do not follow commutative law of multiplication.
To find the product AB of two matrices A and B , the number of column in matrix A must be equal to number of rows in matrixB .
For example: Let
Compute the value of
Thus, the complete statement is “To find the product AB of two matrices A and B , the number of columns in matrix A must be equal to number of rowsin matrix B.”
Chapter 11 Solutions
Precalculus
Additional Math Textbook Solutions
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