Further Mathematics

You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the middle ter

Act as my SS3 Further Mathematics tutor. Work a question on partial fractions with an irre

Give me a matrix problem where A=[[2,3],[1,4]], B=[[5,-1],[0,2]] and I have to add them, s

Give me a matrix problem where A=[[1,2,0],[3,-1,4],[0,2,1]], B=[[2,0,1],[1,1,-1],[3,-2,0]]

Set me a scalar multiplication question like A=[[-2,3],[1,0]], k=-3, let me attempt multip

Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2

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

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

I am in SS 3. Give me a WAEC past-question on matrices that awards marks for method as wel

Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina

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

Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi

I am in SS 3. Set me a WAEC-style question that uses Cramer's rule to solve a pair of simu

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

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

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

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