1,293 prompts matching "Proving a surd statement is true or false"
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Worked Example: The associative law for the product of three matrices
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Worked Example: Taking a common factor out of a matrix
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Explain Back: Why the order of the letters matters in a matrix product
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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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Worked Example: What a determinant of nought means for a 2 by 2 matrix
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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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WAEC Prep: When Cramer's rule is quicker than elimination
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Worked Example: Forming the determinant Dy by replacing the second column
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WAEC Prep: What Cramer's rule gives when the system is inconsistent
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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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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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