Matrix Lab

Secondary 4/5 Maths · Topical revision: order, elements, +, −, scalar and matrix multiplication
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A matrix is a table without the labels

Choose any number in the table. See where it sits in the matrix and what it means. Rows run across and columns run down. The order is rows × columns.

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Choose a number to read it.

Try this: find the row totals and column totals. What does each total count?

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Add or subtract matching positions

Choose a cell in the answer. It uses only the numbers in the same position in A and B. Matrices must have the same order before you add or subtract them.

Choose a cell in the answer.

Can these be added?

( × ) + ( × )
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A scalar stretches every element

Drag k. Look at every element of kA. Does the scalar change only one element or all of them?

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Row × column, then add

Choose a cell of AB. The matching row of A and column of B light up. Then the working appears step by step.

Choose a cell of the answer.

Dimension checker: when does a product exist?

( × )( × )
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From pies sold to money taken

Change the prices. Money taken = pies sold × price for each type, added together. This is exactly one row of a matrix product.

Finish and review

Pressing Submit my work checks any answers you have not checked yet. It records your result and shows your review. You can still go back and fix answers, then submit again.