Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →456 prompts matching "Prove command word: line does not intersect a curve"
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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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Explain Back: Subtracting two 3 by 3 matrices
I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L
Subscribe to unlock allExplain Back: Showing that AB and BA are usually different for 2 by 2 matrices
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Subscribe to unlock allExplain Back: Keeping track of the nine entries when multiplying 3 by 3 matrices
I have just studied keeping track of the nine entries when multiplying 3 by 3 matrices in
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 allExplain Back: Why the order of the letters matters in a matrix product
I have just studied why the order of the letters matters in a matrix product in my SS3 Fur
Subscribe to unlock allExplain Back: The rule that the transpose of a product reverses the order
I have just studied the rule that the transpose of a product reverses the order in my SS3
Subscribe to unlock allWorked Example: A singular matrix, and why it has no inverse
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Subscribe to unlock allExplain Back: The order of the answer when two matrices are multiplied
I have just studied the order of the answer when two matrices are multiplied in my SS3 Fur
Subscribe to unlock allLearn: Deciding whether a stated matrix calculation is possible at all
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Subscribe to unlock allExplain Back: Solving a matrix equation containing both a sum and a product
I have just studied solving a matrix equation containing both a sum and a product in my SS
Subscribe to unlock allWorked Example: What a determinant of nought means for a 2 by 2 matrix
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Subscribe to unlock allLearn: The effect on a determinant of swapping two rows
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Subscribe to unlock allExplain Back: The determinant of a product as the product of the determinants
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Subscribe to unlock allWorked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus
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Subscribe to unlock allWorked Example: Forming the determinant Dy by replacing the second column
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Subscribe to unlock allLearn: Solving two simultaneous equations by Cramer's rule
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