Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →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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Subscribe to unlock allLearn: 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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Subscribe to unlock allSpot My Mistake: Why matrix subtraction is not commutative
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Subscribe to unlock allQuiz: Solving a matrix equation of the form A plus X equals B
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Subscribe to unlock allSpot My Mistake: Squaring a 2 by 2 matrix
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Subscribe to unlock allPractice: A 2 by 2 matrix multiplied by a column vector
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Subscribe to unlock allSpot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column
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Subscribe to unlock allWorked Example: The associative law for the product of three matrices
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Subscribe to unlock allLearn: The distributive law for a scalar over a sum of matrices
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Subscribe to unlock allQuiz: Multiplying a matrix by minus one
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Subscribe to unlock allSpot My Mistake: Orders that make a product possible one way round but not the other
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Subscribe to unlock allPractice: The transpose of a 2 by 3 matrix
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Subscribe to unlock allSpot My Mistake: A symmetric matrix, equal to its own transpose
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Subscribe to unlock allQuiz: The zero matrix, and how it differs from nought in arithmetic
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Subscribe to unlock allPractice: A diagonal matrix
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Subscribe to unlock allWorked Example: A singular matrix, and why it has no inverse
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Subscribe to unlock allPractice: The condition on the orders for a product to exist
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Subscribe to unlock allLearn: Deciding whether a stated matrix calculation is possible at all
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Subscribe to unlock allPractice: Evaluating AB minus BA
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