Further Mathematics

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

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

Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C

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=[[5,-2],[3,1]] and ask me to find its inverse us

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=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f

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

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

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

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 two forces of 15N and 7N acting at 120 degrees and as

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

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

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

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f

I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring me to so

I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring differen