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Senior Secondary

Further Mathematics

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1,334 prompts matching "Test me under exam conditions on surds"

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Quiz: The zero matrix, and how it differs from nought in arithmetic

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Practice: A diagonal matrix

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Learn: Deciding whether a stated matrix calculation is possible at all

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Quiz: Finding an unknown entry from a stated matrix equation

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

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Quiz: Checking a 3 by 3 inverse by multiplication

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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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Quiz: Solving three simultaneous equations with the inverse matrix

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Learn: Inertia, and what mass actually measures

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

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Learn: Converting a weight given in kilogram-force into newtons

You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k

Spot My Mistake: Compounding three forces acting at one point

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Learn: The component of a force along a stated direction

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Quiz: Recovering the original force from its two components

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Practice: Choosing the most convenient pair of directions to resolve along

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Practice: The direction of the resultant of several coplanar forces

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Practice: Why the forces must sum to nought in two perpendicular directions

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