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Senior Secondary

Further Mathematics

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1,231 prompts matching "IGCSE Additional Maths Y10: How many points of intersection there are — Worked E"

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Quiz: Multiplying a matrix by minus one

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Spot My Mistake: Orders that make a product possible one way round but not the other

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Quiz: Solving AX equals B and XA equals B by different routes

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Spot My Mistake: A symmetric matrix, equal to its own transpose

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Worked Example: A singular matrix, and why it has no inverse

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

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Explain Back: Solving a matrix equation containing both a sum and a product

I have just studied solving a matrix equation containing both a sum and a product in my SS

Quiz: Finding an unknown entry from a stated matrix equation

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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: 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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Learn: Solving two simultaneous equations by Cramer's rule

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

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Quiz: Arranging the equations in standard form before applying Cramer's rule

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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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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Quiz: Checking a 3 by 3 inverse by multiplication

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Explain Back: Solving two simultaneous equations by multiplying by the inverse

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

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