1,332 prompts matching "Mixed sequence exam question, arithmetic and geometric"
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Structured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Structured question: binomial expansion used for a probability estimate
I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a
Structured question: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
Structured question: combination problem with 'at least' condition
I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc
Structured question: quadratic formula question with a negative discriminant
I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati
Worked Example: Adding two 3 by 3 matrices
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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices
I have just studied showing that AB and BA are usually different for 2 by 2 matrices in my
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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Quiz: Solving AX equals B and XA equals B by different routes
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Explain Back: Solving a matrix equation containing both a sum and a product
I have just studied solving a matrix equation containing both a sum and a product in my SS
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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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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Quiz: Arranging the equations in standard form before applying Cramer's rule
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Spot My Mistake: Checking cofactors by expanding the determinant along a second row
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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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Worked Example: Checking the solution of three equations by substitution
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