1,315 prompts matching "Rationalising and then simplifying fully"
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Learn: Deciding whether a stated matrix calculation is possible at all
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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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Learn: The effect on a determinant of swapping two rows
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Explain Back: The determinant of a product as the product of the determinants
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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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Learn: Solving two simultaneous equations by Cramer's rule
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Explain Back: What a coefficient determinant of nought says about the system
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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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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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Quiz: Checking a 3 by 3 inverse by multiplication
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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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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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Quiz: Why mass stays the same wherever the body is taken
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