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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Structured question: find f^-1(x) and verify it"

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

Multiply matrices step by step #2

I am in SS 3. Show me how to multiply A=[[1,2],[3,4]], B=[[0,1],[-1,2]] using the row-time

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Multiply matrices step by step #5

Show me how to multiply A=[[2,-1],[3,0]], B=[[1,4],[-2,5]] using the row-times-column meth

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Multiply matrices step by step #6

I am in SS 3. Show me how to multiply A=[[1,2,3]] (1x3) and B=[[1],[2],[3]] (3x1) using th

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Scalar multiplication of a matrix #1

I am in SS 3. Set me a scalar multiplication question like A=[[5,-1],[2,3]], k=4, let me a

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Scalar multiplication of a matrix #2

Set me a scalar multiplication question like A=[[-2,3],[1,0]], k=-3, let me attempt multip

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Scalar multiplication of a matrix #3

Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att

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Scalar multiplication of a matrix #4

I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a

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Scalar multiplication of a matrix #5

I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],

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Why is matrix multiplication not commutative

Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2

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Explain the zero matrix in matrix algebra

I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s

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Evaluate a 2x2 determinant #1

I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi

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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 #5

I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi

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Evaluate a 3x3 determinant by expansion #2

Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi

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Evaluate a 3x3 determinant by expansion #3

I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua

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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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Spot my mistake in a determinant expansion

I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si

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Show all working: evaluate a 3x3 determinant

Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show

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Show all working: the determinant of a three by three matrix

You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat

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Solve simultaneous equations using an inverse matrix #2

I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t

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