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Further Mathematics

AI prompts for senior secondary learners.

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1,204 prompts matching "Deciding whether a given number is a term of a sequence"

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

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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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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Spot my mistake in a matrix transpose

I am in SS 3. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please

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Order of matrices before multiplying

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

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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 #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 #1

Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina

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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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Evaluate a 3x3 determinant by expansion #4

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

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Evaluate a 3x3 determinant by expansion #5

Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi

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Find the inverse of a 2x2 matrix #1

Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi

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Find the inverse of a 2x2 matrix #3

I am in SS 3. Give me a 2x2 matrix like A=[[4,1],[2,3]] and ask me to find its inverse usi

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Find the inverse of a 2x2 matrix #4

Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ

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Find the inverse of a 2x2 matrix #5

Give me a 2x2 matrix like A=[[3,2],[5,4]] and ask me to find its inverse using the determi

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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 why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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Find the moment of a force about a point #1

I am in SS 3. Give me a moments problem with a force of 15N acting at a distance of 2m fro

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