Further Mathematics

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

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

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

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

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

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

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

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

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

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

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

I am in SS 3. Teach me the difference between mass, force and weight from scratch, as if I

I am in SS 3. Give me a problem with two forces of 8N and 6N acting at 60 degrees to each

Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the

I am in SS 3. Give me a problem with forces of 20N due east and 14N due north and ask me t

Give me a problem with four concurrent forces acting on a ring, each given with magnitude

Explain how the triangle of forces method finds a resultant, and compare it with the paral

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

I am in SS 3. Give me a moments problem with two forces of 10N and 6N acting at 3m and 5m

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d