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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "completing the square when the coefficient of x squared is not one"

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WAEC Prep: Raising a 2 by 2 matrix to the third power

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through raising a 2 by 2 m

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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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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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Explain Back: The rule that the transpose of a product reverses the order

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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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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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Spot My Mistake: Forming the determinant Dx by replacing the first column

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Practice: Turning a minor into a cofactor with the sign rule

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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

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Explain Back: Finding the adjoint of a 2 by 2 matrix quickly

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Explain Back: The inverse of a diagonal matrix

I have just studied the inverse of a diagonal matrix in my SS3 Further Mathematics class.

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Spot My Mistake: Why the inverse must be applied on the correct side

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Practice: What a singular coefficient matrix says about the equations

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Worked Example: Checking the solution of three equations by substitution

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Worked Example: The units of mass, and the SI unit

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