Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,333 prompts matching "WAEC-style multi-mark question on completing the square"
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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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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: Orders that make a product possible one way round but not the other
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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 allLearn: The effect on a determinant of swapping two rows
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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 allQuiz: Arranging the equations in standard form before applying Cramer's rule
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Subscribe to unlock allSpot My Mistake: Checking cofactors by expanding the determinant along a second row
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Subscribe to unlock allExplain Back: The inverse of a diagonal matrix
I have just studied the inverse of a diagonal matrix in my SS3 Further Mathematics class.
Subscribe to unlock allSpot My Mistake: Why the inverse must be applied on the correct side
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Subscribe to unlock allQuiz: Solving three simultaneous equations with the inverse matrix
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Subscribe to unlock allWorked Example: Checking the solution of three equations by substitution
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Subscribe to unlock allWorked Example: The direction of the resultant of two forces
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Subscribe to unlock allLearn: The component of a force along a stated direction
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Subscribe to unlock allQuiz: Recovering the original force from its two components
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Subscribe to unlock allExplain Back: The forces acting on a body hanging from two strings
I have just studied the forces acting on a body hanging from two strings in my SS3 Further
Subscribe to unlock allWorked Example: Using the sine rule on the triangle of forces
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Subscribe to unlock allWorked Example: Drawing the polygon of forces to scale
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Subscribe to unlock allQuiz: The coefficient of friction between two surfaces
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