1,106 prompts matching "IGCSE Additional Maths Y10: What makes a function one-one — Teach Me"
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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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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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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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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus
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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 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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Spot My Mistake: Checking cofactors by expanding the determinant along a second row
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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix
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Worked Example: The identity that A times its adjoint gives the determinant times the identity
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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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Spot My Mistake: Why the inverse must be applied on the correct side
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Quiz: Solving three simultaneous equations with the inverse matrix
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Worked Example: Checking the solution of three equations by substitution
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Worked Example: The units of mass, and the SI unit
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