Matrix arithmetic and algebra
11 hours
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Understand the matrix definition and notation.
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Define and use addition and subtraction of matrices, scalar multiplication, matrix multiplication, multiplicative identity and multiplicative inverse.
1 interactive
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Use matrix algebra properties, including the commutative law for addition, additive identity, additive inverse, multiplicative identity, multiplicative inverse, and the left and right distributive laws.
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Recognise that matrix multiplication in general is not commutative.
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Calculate the determinant and multiplicative inverse of 2 × 2 matrices, with and without technology.
1 interactive
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Use matrix algebra to solve matrix equations that involve matrices of up to dimension 2 × 2, including those of the form AX = B, XA = B and A + X = B, with and without technology.
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Model and solve problems that involve matrices of up to dimension 2 × 2, including the solution of systems of linear equations, with and without technology.