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Sec 3.4 Matrix Operations. A equals B A + B (Addition) c A scalar times a matrix A – B (subtraction) Column vector nx1 Row vector 1xn. Sec 3.4 Matrix Operations. Matrix Multiplication. C = A * B. mxn mxp pxn. Matrix Multiplication. C = A * B.
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Sec 3.4 Matrix Operations • A equals B • A + B (Addition) • c A scalar times a matrix • A – B (subtraction) • Column vector nx1 • Row vector 1xn
Sec 3.4 Matrix Operations Matrix Multiplication C = A * B mxnmxppxn
Matrix Multiplication C = A * B mxnmxppxn j-thcolm j-thcolm of B i-th row i-th row of A
Matrix Multiplication C = A * B mxnmxppxn
Sec 3.4 Matrix Operations Zero Matrix Identity Matrix x Note: x