1,164 prompts matching "A quadratic inequality that has to be rearranged first"
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Scalar multiplication of a matrix #3
Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att
Why is matrix multiplication not commutative
Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2
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
WAEC past-question practice: matrices #4
I am in SS 3. Give me a WAEC-style question that asks me to find the transpose of a matrix
Evaluate a 2x2 determinant #4
Give me a 2x2 matrix like A=[[-3,2],[4,-5]] and ask me to evaluate its determinant using a
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
Explain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Spot my mistake in a determinant expansion
I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si
Compare expanding a determinant along different rows
I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e
Solve simultaneous equations with Cramer's rule (order 2) #4
Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan
WAEC past-question practice: determinants #2
I am in SS 3. Set me a WAEC-style question that uses Cramer's rule to solve a pair of simu
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 #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
Verify A times A-inverse equals the identity
I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and
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 a 3x3 system using the inverse matrix method #1
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
Define mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
Define particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
Quiz me on units of force
Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv