Further Mathematics

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

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. 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. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us

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

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

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

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

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

Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t

I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as

Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a