consider the following quadratic form : 3(x1)^2-2(x1)(x2)+3(x2)^2+8(x3)^2 (a) write the quadratic form in the matrix notation x^TBx with B a symmetric matrix. (b)...

consider the following quadratic form : 3(x1)^2-2(x1)(x2)+3(x2)^2+8(x3)^2 (a) write the quadratic form in the matrix notation x^TBx with B a symmetric matrix. (b)...

Consider the Matrix A= ...

Consider the matrix A = [ 1 3 0] [3 1...

Prove the following results for the eigenvalues of a n * n matrix A. (a) 0 is an eigenvalue for A if and only if A is non invertible. (b) A and A^T have the same eigenvalues.

Suppose linear transformation L : R2 →R3 is de?ned by: L [ x ] = [ 3x-y] [ y] [ x+y] ...

Suppose linear transformation L : R2 →R3 is de?ned by: L [ x] = [3x-y] [y] [x+y] ...

Let A= [3 1 ] [1 -2] and L be the transformation defined by : or A...

Fit a regression line to the points (0,0), (1,2), (2,7)

Let R3 have the Euclidean inner product and u1= [2] u2= [1 ] u3= [4 ] [-2] [-1]...

Consider Vector: v1= 1/sqrt(18) [ 4 ] , v2= 1/3 [ 1 ] , v3= 1/sqrt(2) [0], w= [2] ...

Your student Gov. surveryed three homeroom classes, and 55 of 90 students said that they would definitely buy a yearbook. If your school has 2000 students, approximately how many books should be ordered...

Write the inverse variation equation, given that x and y vary inversely.

Find the least squares solution of the system AX=B. Where A = a 4X3 matrix {[1 -1 1] [1 1 1] [0 1 1] [1 0 1] } and b = a 4X1 matrix {[2 1 0 2]}. I have calculated...

(a) direct sum S ⊕ S⊥ S= Span(the matrix 4X1) = [0,1,-1,1]

Find the least squares regression line for the data points (1,1),(2,3),(4,5)

Thank you for help me

Consider two bases for R2 B= { [ 1 ] , [-1] } and B' ={ [ 2 ], [ 4 ] } 3 -1 2 ...

help please i need to solve this

Determine whether s is a basis for the indicated vector space S= {(1,2),(1,-1)} for R2

Prove that if A^T A = In, then detA = ±1.

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