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Senior Secondary

Further Mathematics

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1,321 prompts matching "A question asking for two coefficients to be equal"

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Worked Example: Adding two 3 by 3 matrices

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Quiz: The zero matrix as the identity for matrix addition

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Worked Example: The associative law for the product of three matrices

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Learn: The distributive law for a scalar over a sum of matrices

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

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

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Quiz: Checking an inverse by multiplying to get the identity

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

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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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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: The magnitude of the resultant of several coplanar forces

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Learn: A space diagram and a force diagram drawn side by side

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Worked Example: Using the sine rule on the triangle of forces

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Learn: Choosing the point about which to take moments

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Learn: What an unclosed polygon of forces tells you

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Spot My Mistake: The moment of a force whose line of action is not perpendicular

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