Further Mathematics

I am in SS 3. Show me how to multiply A=[[1,2,3]] (1x3) and B=[[1],[2],[3]] (3x1) using th

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

I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a

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

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

I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi

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

I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi

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

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

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