19. By making use of row-reduction, appropriately select columns of A to determine basis for the columnspace of A. 1 2 3 2 4 6 A = 10- 2 lo 2 5

Q: find the rank, nullity, row space & null space of the ff: A = [1, 5, 3, 2 0, 4, 2, 1 0, 8, 4, 5 1,…

A:

Q: [-1 -1 21 Let A = = [23] 3 7 Write b as a linear combinations of the columns of A b= a₁t and b a2

A: Given,                A=-12-37, and b=-7-23. To write b as a linear combination of the columns of A.

Q: 6. Find the matrix of the quadratic form. Assume x is in R³. a. 3x} – 2x3 + 5.x + 4x1x2 – 6x1X3 b.…

A:

Q: Let 13 −4 21. 1 -4 -1 Using a sequence of elementary row operations, transform A into reduced row…

A:

Q: For the following matrix, A, A = 1 2 |3 1 1 1 1 1 2 1 | Q: What is the reduced row echelon form of A

A: To find Reduced row echelon form of the given matrix A

Q: The nullspace of a 5 by 5 matrix contains only x = 0 when the matrix has ___ pivots. The column…

A:

Q: Determine whether b is in col( A) and whether w is in row(A)

A:

Q: [ 2. Let A =-5 3 -9 6. 15 –10 - -11 (a) Put A in reduced row echelon form (over R). (b) Use your…

A: aThe given matrix:A=3-96-515-104-117We need to find the row reduced echelon form of…

Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: If the nulI snace of a 30x17 matrix is 13-dimensional, find the rank of the matrix.

A: We have been given the matrix which is of 30 x 17 i.e it has 30 rows and 17 columns. And it is also…

Q: Explain why v = ( 1, 0, -1) cannot be a row of A and also in the nullspace.

A:

Q: The price charged for cases of 2 different soft drinks at two different stores can be represented by…

A:

Q: if (A|b) is in reduced row echelon form, prove that A is also in reduced row echelon form.

A: (A|b) is the augmented matrix formed by placing elements of matrix B to the right of elements of…

Q: 9. Determine a basis for the row space of [ -2 -1 2 -6

A:

Q: 5. (16 points) Let A = [13¹], B = [-1¹ 63], and C = [29]. Compute each matrix sum or product if it…

A:

Q: Let A be a 5 x8 matrix and let rref(A) denote its reduced row echelon form. Which of the following…

A: The first option is true. The rank of a matrix is the number of pivots in the rref(A). Also the rank…

Q: 25. For a 4x3 matrix can the nullspace, the column space and row space all be a line through the…

A:

Q: Solve using Gauss Jordan Elimination on an augmented matrix: 3x1 – 2x2 + 3x3 22 - 3x2 – x3 24 6x1 –…

A:

Q: Show (a) If A has a zero row, then AB has a zero row. (b) If B has a zero column, then AB has a zero…

A: a)

Q: The fowing le LPP Max 2-SX - T2 X3 Olundrede of dollars S) XT+ 42 23 60 XI- 222X3 30 (production…

A: profit of x3: Z = 120

Q: 5 and B = -3 4 3 Compute AB if A = |-4 -2 -1 1 1 -6

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: 1. Entering a syntax of a polynomial is similar to 1x3 matrix or a 1x3 vector. A. True B. False

A: We know, a polynomial of degree 3 is represented by 1x3 matrix. But A polynomial of degree 4 is…

Q: D: = [1 0 0 0] 0 1 0 0 0010 0041 E = [1 0 0 0 0 0 0 √200 010 001 ,F= [1000 0001 0010 0100

A: As we apply elementary row operations on identity matrix.

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.