1,975 Answered Questions for the topic linear algebra

Linear Algebra

09/13/20

Suppose Ax = b and Cx = b have same solutions for every b. Is it true that A = C?
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Linear Algebra

09/10/20

Let  be unknown constants and consider the linear system: . . . . . . This system has a unique solution whenever ℎ≠
Let  be unknown constants and consider the linear system:- 7x + 4y + 6z = - 64x + 9y - 3z = 813x - 30y + hz = kThis system has a unique solution whenever ℎ≠
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Linear Algebra

09/10/20

Rewrite the system of equations in echelon form.
4z = 4 - y - 2z = 06x + 7y + 4z = 8Rewrite in echelon form:Equation 1:Equation 2:Equation 3:
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Linear Algebra

09/10/20

one less than the product of 16 and Greg’s age

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Linear Algebra

09/03/20

Which formula is equivalent to the slope formula

Consider the formula for the slope between two coordinate points, m, shown below.M=y2 minus y1 over x2 minus x1Which of the following equations is equivalent to the slope formula?A.)... more
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Linear Algebra Proofs

09/02/20

Proofs in matrices

Given that A2 = I, prove that at least one of (A-I) and (A+I) is singular. I don't know how to do proofs but i'd like to see how to approach these kinds of questions thank you!
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Linear Algebra

09/02/20

A rectangular athletic field is twice as long as it is wide if the perimeter of the athletic field is 150 yards what are the dimensions? What is the width in yards?
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Linear Algebra

08/29/20

Linear Algebra augmented matrix
1x + 1y + 4 z = 01x + 2y - 3z = 32x +7y + kz = 16for what value of “k” will the systems have no solutions?
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Linear Algebra

08/26/20

Fit a linear function of the form f(t)=c0+c1t to the data points (−6,22), (0,−5), (6,−26), using least squares.
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Linear Algebra

08/26/20

Find the least-squares solution x* of the system
[1 1 1 1, -1 -1 1 1, 1 -1 1 -1] x=[7 -7 5 7]x*=[ ]
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Linear Algebra

08/26/20

Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R4 spanned by x, y, and z.
Let x=[-4 -1 -2 0], y=[-8 -1.5 1 1], z=[10 -7 -6 23]
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Linear Algebra

08/25/20

Fit a trigonometric function of the form f(t) = c0 + c1 sin(t) + c2 cos(t) to the data points (0,-9.5), (π/2,-1.5), (π,8.5), (3π/2,-1.5), using least squares.
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Linear Algebra

08/25/20

Fit a quadratic function of the form f(t)=c0+c1t+c2t^2 to the data points (0,−6), (1,0), (2,−8), (3,−10), using least squares.
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Linear Algebra

08/25/20

Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R4 spanned by x, y, and z.
Let x=[-4 -1 -2 0], y=[-8 -1.5 1 1], z=[10 -7 -6 23]
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Linear Algebra Matrix

08/24/20

How do you find the solution set of a matrix? Thank you!
1 0 0 2 3 | 40 1 0 5 6 | 90 0 1 1 1 | 7I'd like to see how to do this big matrix
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Linear Algebra

08/24/20

Need to understand how to do this matricies.
For which values of A does the system corresponding to this matrix have a unique solution?X1 + 2X2 + X3 = 1-X1 + 4X2 + 3X3 = 22X1 - 2X2+ AX3 = 3
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Linear Algebra

08/23/20

linear equations
find a linear equation. It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers. The company has monthly expense of $350 for utilities and... more
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Linear Algebra Algebra Word Problem

08/21/20

They will always get 600 calories from carbohydrates. The individual says that they can be flexible about how many calories they consume in fats and proteins.
A medical professional is helping an individual balance their diet. The individual has asked for some certain foods to remain in their diet. They will always get 600 calories from... more
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Linear Algebra

08/21/20

form a basis for R3 if and only if k=/
The vectors:v1=[6 -1 0], v2=[-5 3 7], v3=[2 4 k]form a basis for R3 if and only if k=/
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Linear Algebra

08/21/20

Find a basis of the subspace of R4
Find a basis of the subspace of R4 defined by the equation −5x1+3x2−4x3−4x4=0
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08/20/20

Jacobian matrix of a nonlinear system
 is a Jacobian matrix of a nonlinear system   with a list of critical points.From below choices, select all critical points  that are classified as stable using the above Jacobian matrix.A.) B.)... more
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08/20/20

Can you please help with eigenvalues of matrix?
From below choices, select all correct approaches for finding the eigenvalues of matrixA.) First form a new matrix ,  compute its determinant and then find the roots of the polynomial equation: The... more
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08/20/20

Linear systems that have infinite many solutions.
From below choices, select all linear systems that have  many solutions.A.)B.) C.) D.) E.) F.)
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08/20/20

Please help with this question!
Solve the following linear, homogeneous system of ODEs:    the 3 eigenvalues of the coefficient matrix are: 
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Linear Algebra Algebra

08/20/20

finding the length and width of rectangles with only the perimeter given
When the length of a rectangle is x inches and the width is y​ inches, the perimeter is 28 inches. If the length is tripled and the width is doubled​, the perimeter becomes 74 inches. Find the... more
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