1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"
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Scalar multiplication of a matrix #2
Set me a scalar multiplication question like A=[[-2,3],[1,0]], k=-3, let me attempt multip
Identify symmetric matrices practice
Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^
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 3x3 determinant by expansion #1
Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina
Evaluate a 3x3 determinant by expansion #5
Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi
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
Solve a 3x3 simultaneous equation system with Cramer's rule #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
Find the inverse of a 2x2 matrix #4
Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ
Solve simultaneous equations using an inverse matrix #2
I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t
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
Define particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
Teach me the chain rule with an example
I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o
Spot my mistake in a projectile motion question
I am in SS 3. I split an initial velocity into horizontal and vertical components for a pr
Spot my mistake in a Poisson probability calculation
I am in SS 3. I calculated a Poisson probability but I'm not confident about my factorial
Spot my mistake solving a moments problem
I am in SS 3. I set up a moments equation about a pivot but I think I forgot to use a perp
Teach me integration by recognising the reverse of differentiation
I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin
Teach me the Poisson distribution from scratch
I am in SS 3. Teach me what the Poisson distribution is, when we use it instead of binomia
Learn: The union of two sets written in set-builder notation
You are my personal SS3 Further Mathematics tutor. Teach me the union of two sets written