1,315 prompts matching "Expanding a bracket with a coefficient on x"
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Worked Example: Adding two 3 by 3 matrices
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Explain Back: Subtracting two 3 by 3 matrices
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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices
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Practice: A 2 by 2 matrix multiplied by a column vector
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Explain Back: Keeping track of the nine entries when multiplying 3 by 3 matrices
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Worked Example: The associative law for the product of three matrices
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Explain Back: Why the order of the letters matters in a matrix product
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Practice: The transpose of a 2 by 3 matrix
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Explain Back: The rule that the transpose of a product reverses the order
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Worked Example: A singular matrix, and why it has no inverse
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Explain Back: The order of the answer when two matrices are multiplied
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Practice: Evaluating AB minus BA
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Worked Example: What a determinant of nought means for a 2 by 2 matrix
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Explain Back: The determinant of a product as the product of the determinants
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Practice: The sign pattern of the cofactors in a 3 by 3 determinant
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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus
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Explain Back: Writing out the full matrix of cofactors
I have just studied writing out the full matrix of cofactors in my SS3 Further Mathematics
Explain Back: Finding the adjoint of a 2 by 2 matrix quickly
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Worked Example: The identity that A times its adjoint gives the determinant times the identity
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Worked Example: The units of mass, and the SI unit
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