Perform linear regression on these, data taking the price as the independent variable and the quantity sold as the dependent variable, and then choose three FALSE statements.

The data below show the price, in pence per kg, charged by a market-stall holder for apples, and the quantity, in kg, sold in a day when she charges these prices. Price/p per kg 75 85 100 115 130 150 Quantity sold/kg 50 47 43 40 35 30 Perform linear regression on these, data taking the price as the independent varia ...continues

Non-Singular Matrix

1. Let A be a nxn non-singular matrix and let B and C be given nxn matrices. Solve the matrix equation (3B-X)A=9C, for X if possible. If it is not possible, explain why. Show work.

Matrix Proof : Row Equivalence

2. Write a matrix algebra proof for the following statement: Let A and B be nxm matrices. If A is row equivalent to B, then B is row equivalent to A. Show work.

Euclidean Linear Dependence

Is B={(1,1,1), (1,-1,-1), (-1,-3,3)}cR^3 linearly independent or linearly dependent? (R^3 represents Cartesian 3 space)

Euclidean Linear Dependence

1. Is G={ [1 -1], [1 -4], [1 -6], [0 0] cM^2(R) linearly independent or linearly dependent? Justify your answer. { [-1 0] [1 0] [1 0 ] [1 0]}

Euclidean Linear Dependence

Is K={f_1(x)=1, f_2(x)=sin x, f_3(x)=cos x }cC[0,1] linearly independent or linearly dependent? Justify your answer.

Euclidean Linear Dependence

1. Is H= the column vectors of the matrix M= [1 0 2 0] cR^4 linearly independent or [4 0 3 0] linearly dependent? [5 0 -1 0] Justify your answer. ...continues

Linear Dependence

Write a proof for the following result: Any set consisting of two non-zero vectors is linearly independent if, and only if, one vector is not a scalar multiple of the other. Show work.

Systems of Linear Equations : 3 Unknowns (Echelon Method)

The problem is to find all the possible solutions to the following: Eq 1: x + y = 2 Eq 2: y + z = 3 Eq 3: x + 2y + z = 5 I set up my matricies in the following: 1 1 0 2 0 1 1 3 1 2 1 5 operation 1: (-1*row 1 +row 3) 1 1 0 2 0 1 1 3 0 1 1 3 operation 2: (-1*row 2 +row 3) 1 1 0 2 0 1 1 3 0 0 ...continues

Matrix Proof: Determinants

Please see the attached file for the full problem description: 1. Show that if   0, then A^-1=1/ [ d -b ] [ -c a ] . Help: : is the determinant A [ d -b] [ -c a ] : is a 2 x 2 matrices