1,975 Answered Questions for the topic linear algebra

Linear Algebra

05/16/20

Algebra mathematics

First, create 3 equations of the form  , where a, b, c, and d are constants (integers between – 5 and 5). For example,  . Perform row operations on your system to obtain a row-echelon form and the... more
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Linear Algebra

05/14/20

Please explain the proof and importance of Theorem 4.5.2
 Please explain the proof and importance of Theorem 4.5.2: Let V be a finite-dimensional vector space, and let {v1, v2, ... vn} be any basis for V.(a) If a set has more than n vectors, then it is... more
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Linear Algebra

05/14/20

Linear equations

Jaiye is Y years old.(A)how old was she 3 years ago? (B)how old will she be in 4 years time? (C)find her age?.If half of what she Was 3 years ago is equal to one-third of what she will be in 4... more
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Linear Algebra

05/14/20

Linear equation

Jaiye is Y years old. (A)how old was she 3 years ago?(B)how old will she be in 4 years time? (C)find her age?.if half of what she Was 3 years ago is equal to one-third of what she will be in 4... more
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05/14/20

A quick answer for this question?
If A is a sequare matrix of order 3 and |A|=5 ,then |(2A)-1| is equal to?A)2/5B)1/40C)8/5D)1/10
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05/14/20

Quick less than an hour whats the answer for this?
Let A be a 3x3 matrix, and suppose that the matrix B is obtained from A by : R1←→R2; 5R2+R3→R3.If |A|= -12, then |B| =??
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Linear Algebra

05/13/20

Is it correct to represent a tensor with 2 covariant indices as a matrix of rows and columns on a paper?
We represent a tensor with 1 covariant index i & 1 contravariant index j as a matrix of rows and columns on a paper. The no of rows will be j. The no of columns will be i. Is it correct to... more
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Linear Algebra Projection

05/12/20

How to construct a matrix to project 4-dimensional space to a 2-dimensional plane?

How to Construct a matrix to project vectors in 4-dimensional space to a 2-dimensional plane that lies in the space and passes through the origin and the points (1,-1, -1, 1) and (1, -1, 1, 1).
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Linear Algebra Math Algebra 1 Algebra 2

05/12/20

The following table shows the amount of caffeine in Alex's bloodstream at various times since he drank a cup of coffee. # of hours since he drank the coffee, t # of mg of caffeine in his bloodstream
The following table shows the amount of caffeine in Alex's bloodstream at various times since he drank a cup of coffee. # of hours since he drank the coffee, t # of mg of caffeine in his... more
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Linear Algebra Matrices Projection

05/12/20

How to construct a matrixto project 4-dimensional space to a 2-dimensional plane?
How to Construct a matrix to project vectors in 4-dimensional space to a 2-dimensional plane that lies in the space and passes through the origin and the points (1 ,-1, -1, 1) and (1, -1, 1, 1).
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Linear Algebra Svd Condition Number

05/12/20

How to find the condition number of a 3*3 matrix with singular value 10, 1 and 1/10?
If the singular values of a 3*3 matrix are 10, 1 and 1/10 respectively, what is the condition number of the matrix? Is such a matrix numerically tractable?
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Linear Algebra Math Algebra 2 Algebra

05/10/20

College Algebra : Groups

For each of the following, let the operation ∗ be defined on Z by the given rule.Determine in each case whether Z is a group with respect to ∗ and whether it is an abelian group. State which, if... more
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Linear Algebra Math Algebra 2 Algebra

05/09/20

Algebra: Groups
Question :Determine whether each of the following given sets is a group with respect to the indicated operation. Show your work.(b) The set E of all even integers with operation addition.My work... more
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Linear Algebra Algebra

05/09/20

Find three consecutive integers such that 5 times the first is 5 more than the sum of the second and third integers.

Find three consecutive integers such that 5 times the first is 5 more than the sum of the second and third integers.
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05/06/20

Linear algebra question

Show that the following sets of vectors of R3 are linearly independentand span R3:(a) S1 = {(1, 2, 3),(3, 2, 1),(0, 0, 1)}.(b) S2 = {(3, 0, −6),(−4, 1, 7),(−2, 1, 5)}.
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Linear Algebra English Linear Equations

05/06/20

Linear algebra question

Show that the following sets of vectors of R3 are linearly independentand span R3:(a) S1 = {(1, 2, 3),(3, 2, 1),(0, 0, 1)}.(b) S2 = {(3, 0, −6),(−4, 1, 7),(−2, 1, 5)}.
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Linear Algebra Vector Space

05/05/20

proof orthogonal nonzero vectors
Show that if x,y,z are orthogonal nonzero vectors in R3 , then form a basis for R3
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Linear Algebra

05/05/20

Are any of these vector spaces and if not why not.
a. The set {(x, .5x), where x is a real number} with standard operations for addition and scalar multiplication. b. The set of all 2x2 matrices of the form [ 𝑎 𝑏] ... more
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Linear Algebra

05/04/20

what is the size of the width?
The side length of a rectangle is 3 less than double the width. if the side length of the rectangle is 127 cm, what is the size of the width?
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Linear Algebra

05/02/20

Linear Combination

We define the 2x2 matrixA = ( 3 5 ) 2 2If we multiply A and a vector u, we get a vector Au which can be seen as a linear combination of 2 vectors : except for the canonical basis, what... more
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Linear Algebra Math Algebra 1 Algebra

05/01/20

Functions Question
g(x) = 500^2 + 30x represents which kind of function?a. linearb. exponentialc. quadratic
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Linear Algebra Linear Equations

04/30/20

Determine the equation of the line with a y-intercept of 6 and crosses through point (-3, 12)
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Linear Algebra

04/29/20

Solve the system by substitution. y=-2x+1 -9x-2y=3

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Linear Algebra Math

04/27/20

what is x if 3x/5 - 2x/3 = 1
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Linear Algebra

04/25/20

Linear Algebra Proof 5
A path between two elements A and B in a vector space V is defined to be a continuous function: P(t) on 0 ≤ t ≤ 1 with P(0) = A and P(1) = B. A set in a vector space is called connected if every... more
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