Further Mathematics

I have just studied the line of best fit, and the regression line in my SS3 Further Mathem

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

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

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

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

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

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

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