34 12 25 13 5 30 22 a.) Pivot variables of matrix A? 0 1 1 1 -2 1 1 Let A = b.) Free variables of matrix A? and the equivalent matrix U = c.) What is rank of A, rank(A) =? 1 -2 1 1 2 0 1134 0 000 0 0000

Q: A predicate is a sentence that contains a finite number of variables and becomes a statement when…

A: Given that, A predicate is a sentence that contains a finite number of variables and becomes a…

Q: Use a graphing utility with matrix capabilities to find the following, where u = (1, 2, 1, -3), v =…

A:

Q: Find a QR factorization of the matrix A. [-6-12] A = | 3 36| 0-12 Select one: OA O B. OC. O D. Q = Q…

A:

Q: 1 2 -5] -2 3 0 2 A = 7 -3 2 2 -1 4 0 0 0 -1 -6 4 B = 6. -1 4 1 Given matrix A and matrix B,…

A:

Q: 2.) What system of equations is represented by the matrix equation? [2 7 9 %3D 5 -3 -11

A:

Q: -8 91 -8 32 i) A= 33 64 B= 12 -77 -1 -14 -98 36 (-1 -2 -3) (-7 2 3 j) A= 2 1 B = 0 1 3 1 2 -2 4 0

A:

Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. 16 5-7 0 1 -4 -1…

A:

Q: a) Using elementary row operations 1 (ERO), convert matrix A = 3 2 to matrix 3 B = 2 4 1 Is it…

A:

Q: Determine the dimension of the matrix. -3 7 15 0 5 0 3 3 4 1 67

A: It is required to find the dimensions of the given matrices.

Q: Consider the following matrix 3 2 A= 1 -1 -2 0 36 in null A? Show your work/justify your answer.

A: The given matrix is,The given vectors are;

Q: An experiment was conducted in order to determine if cerebral blood flow in human beings can be…

A: We need to fit the given dataset into a quadratic equation of the form: y=a+bx+cx2 and then…

Q: 2 Consider the matrix below. What is the value of 2a11 – 3a22+ a32 =? - 5 A = (aj) -1 3 -1 b) 4 d)…

A:

Q: Find the rank of the matrix A = rank(A) = 3 0 12 -4 -5 1 -3 -23 -16

A: We have a Matrix A and we have to calculate rank of it.Concept: Since A is square Matrix. If det(A)…

Q: 26 6 . Find the row-echelon form of a matrix B= 0 0 -1 258

A:

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: We have to write the vector v=3, 6, 6, -3, 1 as the linear combination of the vectors u1, u2, u3, u4…

Q: 3. Let [1 2 3 A = |4 5 6 7 8 9 (a) What is Aēj? Present it as a linear combination of the columns of…

A: Given

Q: Find an LU factorization of the matrix A. 3 5) A = 6 24 7 3 6 -5 22

A:

Q: A = 2 - 4 4 -2 6-9 7 -3 -1 -10 18 -7

A: Sol

Q: 2. a) Let f be absolutely continuous on [a, b]. Will the function |f| be absolutely continuous on…

A:

Q: 1 4 3 51 Given matrices A = |-1 -1 2 1 and B = 1 -2 1 [2 1.) Aadj 2.) A-1 3.) B/A

A:

Q: Show that the matrix A = singular. 1 -2 3 4 0 5 0 is 60

A:

Q: If A is a square matrix such that A = A1, then A must be equal to either the identity matrix I or…

A:

Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

A:

Q: How to make this matrix diagonally dominant?

A:

Q: 1 - 2 3 - 4 If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the values of a, b and c which make the following matrix equation hold: 4 -19 [158 -196 -117]…

A:

Q: Find the minors and co-factors of C2, C2, C, C3, C23 of the given matrix 7 -12 A = 8 -5 11 -9 -1 -19

A: We know Minor, Mij is the determinant of the matrix obtained by deleting ith row and jth column…

Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3…

A: The given matrix and a vector, and .The objective is to write the vector  as a linear combination of…

Q: Consider the matrix A == ((1, 2, 5)|(4, 6, 7)|(1, 5, 1)) and the row vector v = > A = ((1, 2, 5)|…

A: As per guidelines, I can do only first question (Question 1.)