![matrix multiplication matrix multiplication](https://s3.amazonaws.com/quantstartmedia/images/qs-valerio-mat-mat-fig1.png)
Multiplications are obtained by putting parenthesis in following way Let the input 4 matrices be A, B, C and D. There are 4 matrices of dimensions 10x20, 20x30, 30x40 and 40x30. We need to write a function MatrixChainOrder() that should return the minimum number of multiplications needed to multiply the chain. Given an array p which represents the chain of matrices such that the ith matrix Ai is of dimension p x p. Designed by industry experts that will surely help you practice and sharpen your programming skills.
![matrix multiplication matrix multiplication](https://www.mcs.anl.gov/~itf/dbpp/text/img798.gif)
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#Matrix multiplication upgrade
If we upgrade the vectors $\vect$ is a $1\times 1$ matrix, though we will treat this small matrix as if it was simply the scalar quantity in its lone entry. The statement of our next theorem is technically inaccurate. You could try to count how many times we avoid making a reference to this theorem. Indeed, I only see about a dozen places where Theorem MMA is cited in a proof. We will frequently add, remove, or rearrange parentheses with no comment. So this is where we draw the line on explaining every last detail in a proof. Since Theorem MMA says matrix multipication is associative, it means we do not have to be careful about the order in which we perform matrix multiplication, nor how we parenthesize an expression with just several matrices multiplied togther.