Further Mathematics

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

I am in SS 3. Give me a 3x3 matrix and ask me to write down its transpose by swapping rows

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

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

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us

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

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

Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in

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

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

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv

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 10N and 12N acting at 90 degrees and ask me to find t