1,173 prompts matching "Quiz: Which values are worth testing as factors"
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Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Why is matrix multiplication not commutative
Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2
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
Spot my mistake in a matrix transpose
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
Identify symmetric matrices practice
Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^
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
Multi-part matrix question: add then multiply
Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul
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 #2
I am in SS 3. Give me a 2x2 matrix like A=[[7,-2],[3,1]] and ask me to evaluate its determ
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 #4
Give me a 2x2 matrix like A=[[-3,2],[4,-5]] and ask me to evaluate its determinant using a
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 2x2 determinant #6
I am in SS 3. Give me a 2x2 matrix like A=[[0,-4],[6,2]] and ask me to evaluate its determ
Explain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Solve simultaneous equations with Cramer's rule (order 2) #2
I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien
Solve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
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