1,323 prompts matching "Writing the answers as ordered pairs"
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Learn: The distributive law for a scalar over a sum of matrices
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Explain Back: Why the order of the letters matters in a matrix product
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Practice: The transpose of a 2 by 3 matrix
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Explain Back: The rule that the transpose of a product reverses the order
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Worked Example: A singular matrix, and why it has no inverse
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Practice: The condition on the orders for a product to exist
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Learn: Deciding whether a stated matrix calculation is possible at all
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Learn: The effect on a determinant of swapping two rows
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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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Practice: Turning a minor into a cofactor with the sign rule
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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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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
I have just studied the inverse of a diagonal matrix in my SS3 Further Mathematics class.
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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