1,052 prompts matching "IGCSE Additional Maths Y10: Setting out polynomial long division — Worked Exampl"
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Worked Example: Adding two 3 by 3 matrices
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Learn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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Quiz: The zero matrix as the identity for matrix addition
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Spot My Mistake: Why matrix subtraction is not commutative
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Quiz: Solving a matrix equation of the form A plus X equals B
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Spot My Mistake: Squaring a 2 by 2 matrix
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Practice: A 2 by 2 matrix multiplied by a column vector
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Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column
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Worked Example: The associative law for the product of three matrices
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Learn: The distributive law for a scalar over a sum of matrices
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Quiz: Multiplying a matrix by minus one
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Spot My Mistake: Orders that make a product possible one way round but not the other
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Practice: The transpose of a 2 by 3 matrix
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Spot My Mistake: A symmetric matrix, equal to its own transpose
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Quiz: The zero matrix, and how it differs from nought in arithmetic
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Practice: A diagonal matrix
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Worked Example: A singular matrix, and why it has no inverse
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Practice: The condition on the orders for a product to exist
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Learn: Deciding whether a stated matrix calculation is possible at all
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Practice: Evaluating AB minus BA
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