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8 Cards in this Set
- Front
- Back
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To multiply matrix A by matrix B:
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The ROWS of A must be the same size as the COLUMNS of matrix B.
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How do you multiply two matrices i.e... A•B?
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1) Multiply each entry of row 1 by exactly one entry (moving down) column 1, add the products together.
2) repeat with row 1, column 2. 3) repeat with row 2, column 1; then row 2 column 2 etc. |
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In matrix multiplication, multiplying an m x n matrix by an n x p matrix gives:
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an m x p matrix
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a 1 x 2 matrix multiplied by a 2 x 1 matrix gives:
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a 1 x1 matrix
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a 2 x 2 matrix multiplied by a 2 x 1 matrix gives a:
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2 x 1 matrix
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If two matrices are multiplied, how many rows and columns will the product matrix have?
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If two matrices are multiplied, the product matrix will have same number of ROWS of the first factor matrix and the same number of COLUMNS of the second factor matrix.
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Any system of linear equations can be written as a matrix equation in the form:
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AX = B, where A is a matrix of coefficients, X is a column matrix of variables, and B is a column matrix of constants.
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When multiplying two matrices together, where do the products of each row go?
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The products of row 1 (row 1 multiplied by each column), go in row 1 of the product matrix. The products of row 2 (row 2 multiplied by each column), go in row 2 of the product matrix. More specifically, the product of row 1 and column 1 is the entry of row 1, column 1 of the product matrix. The product of row 1, column 2 is the entry of row 1, column 2 of the product matrix.
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