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Q51E

Expert-verifiedFound in: Page 37

Book edition
5th

Author(s)
Otto Bretscher

Pages
442 pages

ISBN
9780321796974

**Consider an n × m matrix A, an r × s matrix B, and a vector _{$\overrightarrow{\mathbf{x}}$ }in${{\mathbf{\mathbb{R}}}}^{{\mathbf{p}}}$ **

The values of n, m, r, s and p is the product of $A\left(B\overrightarrow{x}\right)$ is defined are s = p and m = r

For *m*=*r *to be defined the number of columns of B must be equal the number of components of$\overrightarrow{x}$* *.

So columns of B are [s] components of* $\overrightarrow{x}$ *is *p*

* *

For $A\left(B\overrightarrow{x}\right)$to be defined we must have *m*=*r*

The values of n, m, r, s and p is the product of$A\left(B\overrightarrow{x}\right)$ is defined are s = p and m = r

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