Linear Algebra Answers

Prove that set of all sequences that satisfy Hilbert condition form a linear subspace
in R^(inf)

Show that determinant
2 0 6 0 4
5 3 2 2 7
2 5 7 5 5
2 0 9 2 7
0 0 2 8 9
is divisible by 17

the value of personal computer is decreasing linearly over time.Two points indicate its price at two different times:
after one year Price=Rs.45000.
after two year Price=Rs.40.000
(1)Determine a linear equation representing this information.
(2)Predict when the computer will be worthless.

If A.x = λx, where A = {{{{211232−212}}}}, determine the eigen values of the matrix A, and an eigen vector corresponding to each eigen value. If λ = 4, what is C?

(A) {2,3,0}

(B) {2,1,0}

(C) {-2,1,1}

(D) {3,2,6}

If A.x = λx, where A = {{{{211232−212}}}}, determine the eigen values of the matrix A, and an eigen vector corresponding to each eigen value. If λ = 1, what is a?

(A) {-2,1,0}

(B) {3,5,2}

(C) {1,0,0}

(D) {2,1,4}

Solve the set of linear equations by Gaussian elimination method: a+2b+3c=5, 3a-b+2c=8, 4a-6b-4c=-2. Find b.

(A) 4

(B) -5

(C) -3

(D) 5

What is a set of real or complex numbers or elements arranged in rows or columns to form a rectangular array.

(A) set
(B) matrix
(C) determinant
(D) real numbers

Solve the set of linear equations by the matrix method: a+3b+2c=3, 2a-b-3c= -8, 5a+2b+c=9. Solve for c.

(A) 3
(B) 1
(C) 5
(D) 7

Solve the set of linear equations by Gaussian elimination method : a+2b+3c=5, 3a-b+2c=8, 4a-6b-4c=-2. Find c.

(A) 4
(B) 5
(C) 9
(D) 10

Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for b.

(A) 9
(B) -3
(C) 5
(D) -4