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

Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^

I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si

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

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

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

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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

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

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv

I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component

Explain how the triangle of forces method finds a resultant, and compare it with the paral