The product of a 1×n matrix with an n×1 matrix (the product of two vectors) produces a scalar called the inner product (sometimes called the dot product) of the two vectors. The matrix product of an m×k matrix with a k×n matrix is an m×n matrix obtained by taking inner products of rows and columns, the ijth entry of the product AB being the inner product of the ith row of A with the jth column of B.
Evaluate
= ac + bd
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To put an exponent on a matrix, place the insertion point immediately on the right of the matrix, clickitbpF0.3009in0.3009in0.0701insupscrip.wmf or choose Insert + Superscript, and type the exponent in the input box.