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Further Mathematics

AI prompts for senior secondary learners.

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1,331 prompts matching "An element with no inverse under a given operation"

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 #2

I am in SS 3. Give me a 2x2 matrix like A=[[7,-2],[3,1]] and ask me to evaluate its determ

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Evaluate a 2x2 determinant #3

Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad

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Evaluate a 2x2 determinant #4

Give me a 2x2 matrix like A=[[-3,2],[4,-5]] and ask me to evaluate its determinant using a

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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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Compare expanding a determinant along different rows

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

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WAEC past-question practice: determinants #1

I am in SS 3. Give me a WAEC Further Mathematics past-question on evaluating a 3x3 determi

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WAEC past-question practice: determinants #2

I am in SS 3. Set me a WAEC-style question that uses Cramer's rule to solve a pair of simu

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WAEC past-question practice: determinants #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style question applying Cramer's rul

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WAEC past-question practice: inverse matrices #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style multi-part question: (a) find

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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: coplanar forces #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style question on the resultant of s

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Explain the meaning of a probability distribution

I am in SS 3. Explain what a probability distribution is and how it differs from a single

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Show all working: moments and equilibrium question

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

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Vector addition, subtraction and magnitude #1

I am in SS 3. Give me a vector problem where a = 3i + 2j and b = -i + 5j, find a + b and a

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Vector addition, subtraction and magnitude #2

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

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Vector addition, subtraction and magnitude #3

I am in SS 3. Give me a vector problem where a = 5i - j, find the magnitude of a. Let me a

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Vector addition, subtraction and magnitude #4

I am in SS 3. Give me a vector problem where a = 2i + 3j - 6k, find the magnitude of a. Le

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