59 prompts matching "Factorise 3x^2 - 5x - 2"
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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
WAEC past-question practice: matrices #3
I am in SS 3. Drill me with a WAEC-style question on multiplying a 2x3 matrix by a 3x2 mat
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) #2
I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien
Solve simultaneous equations with Cramer's rule (order 2) #3
Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a
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 #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on evaluating a 3x3 determi
WAEC past-question practice: determinants #3
I am in SS 3. Give me a WAEC Further Mathematics exam-style question applying Cramer's rul
WAEC past-question practice: determinants #5
I am in SS 3. Set a WAEC Further Mathematics multi-part question: (a) evaluate a 3x3 deter
Explain the adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
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
WAEC past-question practice: inverse matrices #2
I am in SS 3. Set me a WAEC-style question finding the inverse of a 3x3 matrix using cofac
Differentiation practice question #3
I am in SS 3. Give me a differentiation problem where y = (3x-2)/(x+1), find dy/dx using t
Differentiation practice question #5
I am in SS 3. Give me a differentiation problem where y = sin(3x) + cos(2x), find dy/dx. L
Find and classify stationary points #1
I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify
Find and classify stationary points #2
I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary