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Senior Secondary

Further Mathematics

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1,325 prompts matching "Complete the square for 2x^2 + 4x - 3 = 0"

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

Subtract two matrices, 2x2 #2

I am in SS 3. Give me a matrix problem where A=[[1,-2],[3,0]], B=[[4,1],[-2,5]] and I have

Subtract two matrices, 2x2 #4

Give me a matrix problem where A=[[3,0],[-1,2]], B=[[-4,5],[6,1]] and I have to subtract t

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

Explain the identity matrix

Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA

Multi-part matrix question: add then multiply

Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul

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

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

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

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

Explain the adjoint of a matrix

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

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

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

Define mass, force and weight with correct units

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

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

Resolve a force into horizontal and vertical components #1

Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor

Resolve a force into horizontal and vertical components #2

Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the

Resolve a force into horizontal and vertical components #4

I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to

Spot my mistake resolving a force

I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component

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

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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