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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,211 prompts matching "IGCSE Additional Maths Y10: Showing that a quadrilateral is a parallelogram — Te"

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

Act as my SS3 Further Mathematics tutor and quiz me on solving AX equals B and XA equals B

Practice: The transpose of a 2 by 3 matrix

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the transpose

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

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Practice: A diagonal matrix

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

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

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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

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Practice: The sign pattern of the cofactors in a 3 by 3 determinant

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

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

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Practice: Turning a minor into a cofactor with the sign rule

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Explain Back: Writing out the full matrix of cofactors

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

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