1,155 prompts matching "IGCSE Additional Maths Y11: How much working a 'show that' question needs — Work"
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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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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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Explain Back: The rule that the transpose of a product reverses the order
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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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Explain Back: The order of the answer when two matrices are multiplied
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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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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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Explain Back: What a coefficient determinant of nought says about the system
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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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