Further Mathematics

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 what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul

I am in SS 3. Give me a 2x2 matrix like A=[[7,-2],[3,1]] and ask me to evaluate its determ

Give me a 2x2 matrix like A=[[-3,2],[4,-5]] and ask me to evaluate its determinant using a

I am in SS 3. Give me a 2x2 matrix like A=[[0,-4],[6,2]] and ask me to evaluate its determ

Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi

I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi

I am in SS 3. Give me a 2x2 matrix like A=[[4,1],[2,3]] and ask me to find its inverse usi

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

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

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

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

Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv

I am in SS 3. Give me a problem with two forces of 8N and 6N acting at 60 degrees to each

Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the