Further Mathematics

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin

I am in SS 3. Give me one short question from each major topic covered so far in Further M

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]]

Show me how to multiply A=[[2,1],[0,-3]], B=[[1,-2],[4,3]] using the row-times-column meth

Show me how to multiply A=[[2,-1],[3,0]], B=[[1,4],[-2,5]] using the row-times-column meth

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

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 2x2 matrix like A=[[-3,2],[4,-5]] and ask me to evaluate its determinant using a

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

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

Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show

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

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

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