Further Mathematics

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

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. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please

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

Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul

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

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

I am in SS 3. Give me a 2x2 matrix like A=[[4,1],[2,3]] and ask me to find its inverse usi

Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ

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

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. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d

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