1,108 prompts matching "IGCSE Additional Maths Y11: Expanding one plus x, all to the power n — Worked Ex"
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Quiz: Solving AX equals B and XA equals B by different routes
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Practice: The transpose of a 2 by 3 matrix
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Spot My Mistake: A symmetric matrix, equal to its own transpose
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Quiz: The zero matrix, and how it differs from nought in arithmetic
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Practice: A diagonal matrix
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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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Practice: Evaluating AB minus BA
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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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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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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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Learn: Solving two simultaneous equations by Cramer's rule
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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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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix
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