CraigsMaths

Mathematics Teaching for Learning

Multiplying matrices

August 8th, 2008

Multiplying matrices is fairly simple but there is a process to learn and a couple of rules to remember.

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Adding and subtracting matrices

August 8th, 2008

Matrix addition and subtraction is fairly simple. Just remember that we can only add or subtract matrices if they have the same dimensions. The number of rows must be equal in each matrix and the number of columns must be equal in each matrix.

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What are matrices?

August 8th, 2008

Matrices are simply arrays of values. We use them as a tool to ease operations such as solving simultaneous equations, working with vectors and transformations.

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Finding determinants of a 3×3 matrix

August 8th, 2008

It is fairly simple to memorise the formula for the determinant of a 2×2 matrix:

\mathit{A}=\begin{bmatrix}<br />
a & b \\<br />
c & d<br />
\end{bmatrix}

\left|\mathit{A} \right|=ad-cb

Here we look at a simple approach that aids memorising the formula for a 3×3 matrix called Sarrus’ rule which will give you the determinant of a 3×3 matrix.

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Quadratic general to standard form

August 6th, 2008

When solving quadratic equations and sketching parabolas you can get the required points onto your graph very quickly if you know how to convert from the general form of y=ax^{2}+bx+c to the standard form of y=a\left(x-h\right)^{2}+k. (See Standard Quadratic Form for the reasons why.) This article explains how to complete the square to acheive this.

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