Let M ={ 1- 1-6 E 3 Then M not basis for M2.2 because the number of elements in M is not equal to the dimension of M2.2

Q: 8. so that detA =25, trace-10, and à-5 is repeated. Q24. Complete the matrix A = [8 - 3] SO a) 3 2…

A: Sorry to say that, According to our guideline we can answer only first question other can be…

Q: 3 1 1 S = span -2 3 -4

A: S=span 10-11,2003,31-20,01-1-4

Q: You are given that 1 1 -1 3 3 can be -2 -1 row reduced to 1 0 -2 0 1 0 0 0 Given that p1 =1- x, P2 =…

A: Both the statement is false see below the explanation

Q: A rental company charges a flat fee of $30 and an additional $0.25 per mile to rent a moving van.…

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Q: 2. If we have basis of E", what is the condition that will guarantee that if a vector of the basis,…

A: The two conditions for a collection of vector spaces to be a basis is that 1. The vectors should be…

Q: Let 0 M1 M2 M3 and 6. 3 5 A1 A2 A3 Let B {M1, M2, M3} and W = span(B). It can be shown that B' {A1,…

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Q: If R has the basis {e,, e,, e}, therefore the dimension of R is Select one: O A 3 O B. greater than…

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Q: Find a basis for the row space, the column space, the rank, and the null space of the matrix [4 6 L2…

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Q: 4

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Q: 47. The 4 by 4 Hadamard matrix is entirely +1 and −1: 1 1 1 −1 1 −1 1 -1 −1 1 154 H= = 1 1 Chapter 2…

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Q: 10 -5 14 Let A = 0 2 -6 |and b = 10 . Denote the columns of A by a, a2, a3, and let W = Span (a,,…

A: Given that A=10-502-6-446 and b=1410-30 where  a1=1 0-4, a2=024, a3=-5-66 and  W=Spana1, a2, a3.…

Q: Suppose aj, az, az, a, and a, are vectors in R, and they are, in order from left to right, the five…

A: According to our guideline we can only answer first three subparts.

Q: 3: Define two matrices as A = : 1 E and B = i . Find the following matrices: a) 5A – 7B b) AB c)…

A: It is given that, A=1253 and B=-74110. Find the following matrices : (a). 5A-7B (b). AB (c). BAT

Q: Consider the system Ax = b where A = [11] and b= [¹₂] A basis for the null space of A is given by…

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Q: Matrix [x 8 226 A and its invers 8 y -10 -4

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Q: Find a QR factorization of the matrix A. -6-12] 17) A 3 36 0-12 18) A = 0 11 1 10 -1 -11 1-11,

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Q: 3] and b = [3₁]. At [] for the null space of A is given by is a particular solution. Use this…

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Q: Determine whether S = {1, t, 1 + t2} is a basis for P2.

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Q: 11. For what value(s) of k does the following set of vectors form a basis for R³? ·4·0 3 3

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Q: How many free variables does each augmented matrix have? a. Choose b. Choose c. Choose ✓ d. Choose V…

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Q: Let B = {v1; v2; v3; v4} be a set of vectors in R, and let A be the matrix made by using the four…

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Q: [2 A = 0 L4 6. 1 -1 3 A) 5 Given Matrix A and its inverse matrix B,Find the value of y [x 8 y and…

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Q: 4. Use the matrix A to answer the following questions. utot s (eto A = 51oy evenariW ovis on ab 11 4…

A: Since you have asked multiple subpart, we will solve the first three…

Q: Cj 4 M M basis x1 x2 x3 s1 s2 R1 R3 R1 3 3 4 1 x2 2 1 3 2 R3 6 4 1 2 Zj Zi-Cj 9M+10 55M+15 4M 6M+10…

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Q: Determine whether S = {1-1,2t +31², 1²-21³,2+1³} is a basis for P3.

A: DEFINITION OF A BASIS-: A SET OF VECTORS v1,v2,v3,.......vn IS SAAD TO BE BASIS FOR A VECTOR SPACE V…

Q: 7. Provide a justification for your response to the following statements or questions. b. True or…

A: We need to give the justification for the given, that weather each statements (b),(c) and (d) are…

Q: Is S= { 2 3 2 3 1 1 a basis for M2.2 1 0 4 0 1 1 0 1

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Q: snip

A: Let S=0101,1101 As the dimension of M22 is 4. Also, it has 4 elements, and so it is linearly…

Q: 4. Use the matrix A to answer the following questions. (23 points) 51 4 A = -6 11 -7 -1 2 1. -2 2 -3…

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Q: 31. Find a basis for the nullspace of the matrix [231] 516 2 7 6-2 1 2 0

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Q: 19. By making use of row-reduction, appropriately select columns of A to determine basis for the…

A: Use row reduction

Q: Suppose a, a, a, and a are vectors in R³, A = (ª₁ | 2₂ | 23 | ª₁), and rref(A) = a. Select all of…

A: Introduction: A set of vectors is called linearly independent if no vector in the set can be…

Q: [o 5 Write down the quadratic form corrsponding to the matrix 5 1 -1] -1 6 2 6

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Q: 2. Consider the matrix a A = 1 11 1 a 1 a 5, where a is some real number. Use the criterion based on…

A: The given matrix is A=a1111a1a5 where a is a real number.   If A be a symmetric n×n matrix, then we…