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Linear Algebra
Find a 3 3-matrix A such that there exists
b1 =vector(0) and
b2 =vector(0), such that
vector(A)x = b1 has in nitely many solutions, but vector(A)x = b2 has no solutions.
b1 =vector(0) and
b2 =vector(0), such that
vector(A)x = b1 has in nitely many solutions, but vector(A)x = b2 has no solutions.
Linear Algebra
The production-line employees at GE work four days a week, 10 hours a day. Each day of the
week, (at least) the following numbers of line employees are needed: Monday–Friday, 7 employees; Saturday and Sunday, 3 employees. GE has 11 production-line employees. Formulate an LP that can be used to maximize the number of consecutive days off received by the employees.
For example, a worker who gets Sunday, Monday, and Wednesday off receives two consecutive days off.
week, (at least) the following numbers of line employees are needed: Monday–Friday, 7 employees; Saturday and Sunday, 3 employees. GE has 11 production-line employees. Formulate an LP that can be used to maximize the number of consecutive days off received by the employees.
For example, a worker who gets Sunday, Monday, and Wednesday off receives two consecutive days off.
Linear Algebra
when x is subtracted from 2y, the difference is equal to the average of x and y What is the value of x/y?
Linear Algebra
give an example of a non-diagonalisable 4 x 4 matrix with eigenvalues -1,-1,1,1
Linear Algebra
You are given two finite dimensional subspaces of some inner product space. If one subspace is of lower dimension than the other, show whether there must exsist atleast one nonzero vector in the larger space that is orthogonal to all vectors in the smaller space.
Linear Algebra
algebraically, find the intersection points of the two lines given in each part of this problem. y=0.12x+18 y=0.08x+25
Linear Algebra
Prove that any matrix ring as vector space is direct sum of sets of symmetric and antisymmetric matrices.
Linear Algebra
Prove that set of all sequences that satisfy Hilbert condition form a linear subspace
in R^(inf)
in R^(inf)
Linear Algebra
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
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
Linear Algebra
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.
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.
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#340153 on Dec 2023
#340153 on Dec 2023