1,034 prompts matching "Showing a set is not closed by a single counter-example"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Worked Example: The powers of i, and the cycle they follow
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the po
Worked Example: Squaring a complex number
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on squari
Worked Example: The quotient rule for differentiation
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the qu
Worked Example: Power as the rate of doing work
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on power
Worked Example: Finding the first term and the common difference from two given terms
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Order of matrices before multiplying
I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m
WAEC past-question practice: matrices #2
I am in SS 3. Set me a typical WAEC Further Mathematics question combining matrix multipli
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
WAEC past-question practice: matrices #5
I am in SS 3. Set a WAEC Further Mathematics multi-part matrix question: (a) find A+B, (b)
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 #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
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 a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y
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
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