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Senior Secondary

Further Mathematics

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1,334 prompts matching "IGCSE Additional Maths Y11: Writing tan x in terms of sin x and cos x — Worked E"

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Worked Example: Taking a common factor out of a matrix

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Quiz: Multiplying a matrix by minus one

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Explain Back: Why the order of the letters matters in a matrix product

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

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Explain Back: The rule that the transpose of a product reverses the order

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

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

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Explain Back: The order of the answer when two matrices are multiplied

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

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Quiz: Finding an unknown entry from a stated matrix equation

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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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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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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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