1,044 prompts matching "Practice: Factorising a quadratic with a common factor taken out first"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Find the transpose of a 3x3 matrix
I am in SS 3. Give me a 3x3 matrix and ask me to write down its transpose by swapping rows
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Explain the zero matrix in matrix algebra
I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s
Show all working: adding three matrices in one question
Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C
Evaluate a 2x2 determinant #1
I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi
Evaluate a 2x2 determinant #3
Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad
Evaluate a 2x2 determinant #5
I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi
Evaluate a 3x3 determinant by expansion #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi
Evaluate a 3x3 determinant by expansion #4
I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat
Show all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Find the inverse of a 2x2 matrix #1
Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi
Find the inverse of a 2x2 matrix #2
I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us
Find the inverse of a 2x2 matrix #3
I am in SS 3. Give me a 2x2 matrix like A=[[4,1],[2,3]] and ask me to find its inverse usi
Find the inverse of a 2x2 matrix #5
Give me a 2x2 matrix like A=[[3,2],[5,4]] and ask me to find its inverse using the determi
Explain the adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
Show all working: the determinant of a three by three matrix
You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat
Solve simultaneous equations using an inverse matrix #1
I am in SS 3. Show me how to write 2x + 3y = 7 and x - y = 1 as a matrix equation, find th
Solve simultaneous equations using an inverse matrix #3
Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t
Solve a 3x3 system using the inverse matrix method #2
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
Teach me the basics of force, mass and weight
I am in SS 3. Teach me the difference between mass, force and weight from scratch, as if I