b.Determine the values of q so that the rank of the matrix B included is 2 c.For the above values of q find the ranks of the matrices BT, BBT, and BTB

Q: . Find the rank of the matrix : 3 2 11 3 4 3 -1 2 2 Find rank of matrix

A:

Q: F) Create 3x5 matrix named MA and then eliminate all the rows of columns 2 through 4.

A: First we have to create a 3/5 matrix . Then we have to eliminate the second column using fourth…

Q: Let A be a m x 3 matrix with columns V₁, V2, V3. Find A0, A (-0. and A 0

A:

Q: Let y= and u= 3 Write y as the sum of a vector in Span (u) and a vector orthogonal to u.

A: Describe y as the sum of vertices x1 in span u and x2 orthogonal to u         x1=α9, 3=9α, 3α and…

Q: Consider an m × n matrix A and an n × p matrix B. Show that the row vectors of AB are in the row…

A: Let A be m×n matrix and B is n×p matrix. To show that the row vectors of AB are in the row space of…

Q: B- Find the matrix A :- 3. A + -5 4 1. -1 3.

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Q: Let. A=[3,2,1;4,2,3;-2,1,-3] Convert the matrix unit using elementary operations

A:

Q: Compute the third row of the product (if it exists) by summing an appropriate linear combination of…

A: To Find : Third row of the Product of given matrices.

Q: Let y = 1 2 and u= 4 2 Write y as the sum of a vector in Span (u) and a vector orthogonal to u.…

A: Introduction: The projection of a vector onto another vector is the application of dot product. This…

Q: Let A.3 be 5x5 matrices such that det (A) = 7 and det(A)=-3. Find the following (1) det(2(A^B)')…

A: if A is an n×n matrix and det(A)=a thendet(kA)=kn×adet(A-1)=1adet(AT)=adet(adj A)=an-1

Q: Express Ac as a linear combination of the columns of A.

A: Given A=2-34-1235-1-2   C=214

Q: The matrix X1 X = is called a vector.

A: We have to find

Q: a) Consider the matrices A and B: 4 -3 A =-2 7 1 8 6. -5 B = -3 -2 Which element is in row 2, column…

A:

Q: Q2) Factorize then solve the following matrix (2 -1 1) 4 ()- 3 3 9 =| 45 3 5. \29,

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Q: Let A be an m x n matrix and let b and c be column vectors with n components. Express the dot…

A: Answer :

Q: Consider the square matrix below: 2 -4 A = 3 2 O -2 Use Doolittle's method, expressed the given…

A:

Q: Make a change of variable, x = Py, that transforms the quadratic form 6x +18x1x2 + 6x2 into a…

A: Quadratic form and diagonal matrix

Q: a. Express each column vector of AB as a linear combination of the column vectors of A. b. Express…

A: a. To express each column vector of AB as a linear combination of the column vectors of A, we can…

Q: Find AB using the following matrices: 7 8 1 2 3 A= B= 9 10 4 5 6 11 12

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Q: Use row operations to change the matrix to reduced form. 1 1 1 18 5 6 7 24 1 1 1 18 5 6 7 24

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Q: Consider the matrices below and find the requested products if possible [8 2 [4 2 -2 5 A = 1, B = 1…

A: Two matrices can only be multiplied, if the number of columns of the first matrix is equal to the…

Q: 4 Compute x using the vectors w = -2 and x = (Simplify your answer. Type an integer or simplified…

A:

Q: The matrices C and D are given below. Find the matrix B so that BC = D. C = -1 and D =

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.