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Further Mathematics

AI prompts for senior secondary learners.

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1,258 prompts matching "Spot my mistake multiplying a two by two matrix by a two by one matrix"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Evaluate a 2x2 determinant #6

I am in SS 3. Give me a 2x2 matrix like A=[[0,-4],[6,2]] and ask me to evaluate its determ

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Explain the rule of signs for determinants

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

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Solve simultaneous equations with Cramer's rule (order 2) #1

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

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Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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Verify A times A-inverse equals the identity

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

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WAEC past-question practice: inverse matrices #1

I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the inverse of a

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WAEC past-question practice: inverse matrices #2

I am in SS 3. Set me a WAEC-style question finding the inverse of a 3x3 matrix using cofac

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Find the resultant of several concurrent forces #1

Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a

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Find the resultant of several concurrent forces #2

Give me a problem with four concurrent forces acting on a ring, each given with magnitude

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Explain the parallelogram of forces

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

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Show all working: resultant of forces question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f

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Teach me composition of coplanar forces

I am in SS 3. Teach me what composition of forces means in mechanics and how it differs fr

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WAEC past-question practice: coplanar forces #1

I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the resultant of

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WAEC past-question practice: coplanar forces #2

I am in SS 3. Set me a WAEC-style question on resolving a force into horizontal and vertic

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WAEC past-question practice: probability distributions #4

I am in SS 3. Test me with a timed WAEC-style probability distribution question, give it t

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Solve a three coplanar forces in equilibrium problem #3

I am in SS 3. Give me a problem involving a particle held in equilibrium by three forces a

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WAEC past-question practice: equilibrium #4

I am in SS 3. Test me with a timed WAEC-style equilibrium and friction question, give it t

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Scalar (dot) and vector (cross) product practice #1

I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th

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