Further Mathematics

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

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

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

I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si

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

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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

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

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

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

I am in SS 3. Show me how to write 2x + 3y = 7 and x - y = 1 as a matrix equation, find th

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

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

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