Further Mathematics

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

I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

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

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=[[4,1],[2,3]] and ask me to find its inverse usi

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

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

I am in SS 3. Show me how to write 2x + 3y = 7 and x - y = 1 as a matrix equation, find th

I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t

I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th

I am in SS 3. Give me a vector problem where a = i - 2j + 3k and b = 2i + j - k, find a .

I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x

I am in SS 3. Give me a vector problem where a = 2i + j and b = -i + 4j, find the angle be

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

I am in SS 3. Give me a short vector geometry problem, such as showing that a quadrilatera

Ask me a quick diagnostic question from each major SS3 Further Mathematics topic — matrice

I am in SS 3. Quiz me rapid-fire on key Further Mathematics formulas I need to remember fo

I am in SS 3. Ask me a set of questions covering matrices, vectors, calculus and mechanics