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Senior Secondary

Further Mathematics

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1,326 prompts matching "Quiz: Rationalising a denominator of the form one over 2 plus root 3"

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Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

Explain Back: The determinant of a product as the product of the determinants

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

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Explain Back: What a coefficient determinant of nought says about the system

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Explain Back: Writing out the full matrix of cofactors

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

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

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Spot My Mistake: Finding the adjoint of a 3 by 3 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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Explain Back: The inverse of a diagonal matrix

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Quiz: Solving three simultaneous equations with the inverse matrix

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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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Quiz: Why mass stays the same wherever the body is taken

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Worked Example: The weight of a body as mass times g

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Explain Back: The resultant of two forces acting in the same straight line

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Worked Example: The direction of the resultant of two forces

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