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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Teach me the dot product of two vectors"

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

Quiz: The modal class of a grouped frequency distribution

Act as my SS3 Further Mathematics tutor and quiz me on the modal class of a grouped freque

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Explain Back: The line of best fit, and the regression line

I have just studied the line of best fit, and the regression line in my SS3 Further Mathem

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Find the transpose of a 3x3 matrix

I am in SS 3. Give me a 3x3 matrix and ask me to write down its transpose by swapping rows

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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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Find the inverse of a 2x2 matrix #2

I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us

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Find the inverse of a 3x3 matrix using cofactors #1

I am in SS 3. Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f

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Find the inverse of a 3x3 matrix using cofactors #2

I am in SS 3. Give me a 3x3 matrix like A=[[2,0,1],[1,3,-1],[0,1,2]] and guide me through

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Find the inverse of a 3x3 matrix using cofactors #3

Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in

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Explain the adjoint of a matrix

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

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Solve a 3x3 system using the inverse matrix method #1

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

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Solve a 3x3 system using the inverse matrix method #2

I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it

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Quiz me on units of force

Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv

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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 #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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Explain the properties of the normal distribution curve

I am in SS 3. In your own words, explain the key properties of the normal distribution cur

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Explain the conditions for equilibrium of a rigid body

I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu

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Explain the polygon of forces

I am in SS 3. Explain what the polygon of forces method is and how it shows several concur

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Explain friction and the coefficient of friction

I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t

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Position vectors and displacement between points #1

I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto

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Position vectors and displacement between points #2

I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v

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