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Senior Secondary

Further Mathematics

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📅 36-Week WAEC Study Guide for Further Mathematics →
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756 prompts matching "Solving a cubic that must first be rearranged"

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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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Quiz: Finding an unknown entry from a stated matrix equation

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

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Learn: The effect on a determinant of swapping two rows

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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

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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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Worked Example: Forming the determinant Dy by replacing the second column

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Spot My Mistake: Checking a Cramer's rule solution by substituting back

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

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Spot My Mistake: Checking cofactors by expanding the determinant along a second row

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

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Quiz: Checking an inverse by multiplying to get the identity

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Learn: The order of the steps in inverting a 3 by 3 matrix

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Quiz: Checking a 3 by 3 inverse by multiplication

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