1,334 prompts matching "Spot the examiner's trick in a factorisation question"
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Explain Back: The determinant of a product as the product of the determinants
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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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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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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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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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Learn: The order of the steps in inverting a 3 by 3 matrix
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Explain Back: The inverse of a diagonal matrix
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Explain Back: Solving two simultaneous equations by multiplying by the inverse
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Practice: What a singular coefficient matrix says about the equations
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Quiz: Solving three simultaneous equations with the inverse matrix
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Practice: Comparing the inverse method with elimination for three equations
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Worked Example: Checking the solution of three equations by substitution
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