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Senior Secondary

Further Mathematics

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1,334 prompts matching "An argument written in words and tested for validity"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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

Solve simultaneous equations with Cramer's rule (order 2) #1

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

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 #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 #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 #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

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

Find the inverse of a 2x2 matrix #5

Give me a 2x2 matrix like A=[[3,2],[5,4]] and ask me to find its inverse using the determi

Find the inverse of a 3x3 matrix using cofactors #1

I am in SS 3. Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f

Find the inverse of a 3x3 matrix using cofactors #3

Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in

Explain the adjoint of a matrix

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

Spot my mistake in finding a matrix inverse

I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d

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

Solve a binomial probability problem #1

Give me a binomial distribution problem where n=8, p=0.3, find P(X=3), using the binomial

Solve a binomial probability problem #2

Give me a binomial distribution problem where n=10, p=0.5, find P(X is at least 7), using

Solve a binomial probability problem #4

I am in SS 3. Give me a binomial distribution problem where n=12, p=0.4, find P(X=5), usin

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