1,333 prompts matching "a GP where the 2nd term is 6 and the 5th term is 162, find the first term and co"
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Learn: The coordinates of a point in three dimensions
You are my personal SS3 Further Mathematics tutor. Teach me the coordinates of a point in
Learn: The magnitude of a three-dimensional vector
You are my personal SS3 Further Mathematics tutor. Teach me the magnitude of a three-dimen
Learn: Subtracting one vector from another
You are my personal SS3 Further Mathematics tutor. Teach me subtracting one vector from an
Learn: The cube roots of unity
You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki
Learn: Finding displacement by integrating velocity
You are my personal SS3 Further Mathematics tutor. Teach me finding displacement by integr
Learn: Connected rates of change through the chain rule
You are my personal SS3 Further Mathematics tutor. Teach me connected rates of change thro
Learn: The kinetic energy of a moving body
You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving
Learn: The median of a set of ordered data
You are my personal SS3 Further Mathematics tutor. Teach me the median of a set of ordered
Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
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
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
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
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 #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
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
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
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