1,333 prompts matching "Why a rational number added to an irrational one stays irrational"
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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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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts
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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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Explain Back: What a coefficient determinant of nought says about the system
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Quiz: Arranging the equations in standard form before applying Cramer's rule
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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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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: The units of mass, and the SI unit
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Learn: Inertia, and what mass actually measures
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Learn: Converting a weight given in kilogram-force into newtons
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Explain Back: The resultant of two forces acting in the same straight line
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Spot My Mistake: Compounding three forces acting at one point
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Worked Example: The direction of the resultant of two forces
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Learn: The resultant of two perpendicular forces
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