3) Identify the element in the matrix. [O 2 4 6 X =0 3 6 9 0 48 12 X2,4 =h X3,2 %3D X3,4 %3D

Q: Given that G is a 1 × 6 matrix and H is a 6 × 1 matrix, a. Is GH defined? If so, what is the order…

A: Given that G is a 1 × 6 matrix and H is a 6 × 1 matrix,a. Is GH defined? If so, what is the order of…

Q: 7. Given the following augmented matrix, list all the variables {x1, ... , X5}. Indicate which are…

A: We find free variables by using given augmented matrix.

Q: If A is an 7 x 12 matrix, then what is rank A² + dim nul (A²) equal to? Your

A: We can solve this as follows:

Q: .7 6Jand |B| = HA|, which matrix is matrix B? %3D O A. [1 L6 3 О в. c. [12 !1 [13 OD. [ 4

A:

Q: Find an LUfactorization of the given matrix.

A: Given, To find LU factorization of the given matrix.

Q: Decompose the given matrix as indicated: [25 5 4 10 8 16 = 1 0 0| 41 12 13 l21 C31 32 1 1 0 0 12 22

A:

Q: 4. Use the following matrices and find an elementary matrix E that satisfies the stated equation 13…

A:

Q: 2. Analyze first the given matrix and identify the most appropriate tool to use and why. -1 2 4 3 2…

A:

Q: Are there values of rand s for which 1 0 O r - 0 s- 4 r+6 7 has rank 1 or 2? If so, find those…

A:

Q: Given the following matrix: Identify the solution   1 -1 3 7 2 1 1 4 -3 2 -2 -10 x= y=

A:

Q: 2. The matrix product G o) ( (5 3 is equal to 3 2 5 3 (: ) 3 5

A:

Q: Given matrix​ A, find the minor M12.   A= −2 −1 0 4 3 1 1 4 6

A:

Q: matrix. A= [7   -9      5 0      5      4

A:

Q: What will be the rank of the matrix? [1 3 5 9 2 [1 5 2 0 0 0 0 0 15. 0 2 7-6 4 16. 019 0 05 0 0 8 7…

A: 15. Given matrix is: 1359200000027-6400879 The above matrix has 4 rows and 5 columns. So the order…

Q: Find the matrix A given that 1 2 (I +2A)-1 4 5. O a. 4/13] 1 -2/13 13 O b. [-9/13 1/13 2/13 -6/13…

A:

Q: A matrix A is similar to matrix B, if for some invertible matrix P, B = P''AP. Is B similar to A?

A:

Q: 9. Solve the matrix equation C-A(X B) = D for X. Note that A, B, C, D, and X are all n x n…

A:

Q: [1 1 1] L3 -2 3 1[k [k 1 1 -2||1 = 14 1

A: Given,           k11·10301-23-21·k11=14To find : The value of k that satisfies the following matrix…

Q: 2. Decompose the given matrix as indicated: [25 5 4] 10 8 16 8 12 22 1 Answer:

A:

Q: If A is a 4×6 matrix and the dim Nul A​=3,what is dim Col A​? Justify your answer.

A:

Q: - 7 12 - 14 9A = 1,3,4 12 - 18 13

A: We are given matrix A and eigen vectors 1,3 and 4. Then step1. Find eigen vector corresponding to…

Q: Determine the cofactor of 2 in the matrix A = 1 9. 7 4 O-4 3. O -3 2.

A: Cofactor of any element aij is the determinant of the matrix formed by deleting row i and column j…

Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

A:

Q: FInd the Solution by Considering Attachment.

A: The method of mathematical induction can be followed to prove above result. Now, The given matrix is…

Q: Are the two matrices similar? If so, find a matrix P such that B = P-'AP. (If not possible, enter…

A:

Q: Find the co-factor of element 4 for a given matrix shown below(4 at 2nd row, 3rd column). 1 2 A = 2…

A: Here we have to find cofactor of 4

Q: 3 2 2 3 1, find the matrix B Such that AB = 5 3 4 3 4 2 1 6 1 5 6 4 , If A = 1

A:

Q: If A is the matrix -3 4 3 A 3D 4 3. 1 12 and if 1 u = and V = 3.

A:

Q: Given a matrix A = for what conditions on a, b, c, and d will the matrix not have an inverse?

A:

Q: 3 Given that matrix A = (, and matrix B = 1. From the matrix above, 3 Determine the values of x and…

A: The given matrices A=35-10 and B=x0y1

Q: a) If a n x (n + 5) matrix has rank n, find dim Nul A, dim row A and rank A".

A: Given n=2 Matrix A is 2×7 matrix  We need to find dim(Nul A) ,dim(row A) and rank AT

Q: 1 1 1 A =1 1 1 1 2 1 . How many nonzero elements are there in the adjoint matrix of matrix A?

A:

Q: Decompose the given matrix as indicated: [25 5 41 [1 10 8 16 = 8 12 22 13 00 22 ls2 10 0 Us. Answer:

A:

Q: 4. Find the LU factorization of the following matrix (1 1 1V A = 2 3 2 3 8 2

A: according to our company guidelines we can answer first question (if specific is not asked) or only…

Q: 2] find 1 -1 3 - If A = and B 1 |3| -2 (а) ЗА — В. - (b) The matrix X such that 3A – B+ 3X = 0. ||…

A: As per guideline we have to solve only three parts

Q: Consider the matrix A = 0 o 0 0 -2

A:

Q: [4 1 21 tA-3 4 2. B-1 -2 3, and C-5 0 2 Lo 3 2] [-1 0 5 [1 2 -3] [1 4 -3) 1 -1 1 [s 20 Find the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: (2) Let A be 3x3 matrix with 4|| = 4 Find : (a) det(( 3 4 )²(2 4)') ) det( 2 A + 3 adj ( A ))

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Q: Find the matrix A given that -1 2 (I2 + 2A)–1 4 5 O a. 1/13 2/13] -5/13 O b. [-1/13 5/13] 2 -1 4/13]…

A: The given equation is:…

Q: Compute Aº, A-³, and A² – 2A+ I. 2 A = 7 3 NOTE: Write the elements of each matrix exactly. A³ : ? ?…

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Q: 13. Reduce the following matrix to reduced echelon form and find its rank. 1 2 2 -1 -1 -5 1 2 3 4 -2…

A: According to question, Given matrix, 122-1-1-51234-2-3

Q: Given that A is a 1 x 7 matrix and B is a 5 x 1 matrix. (a) Is AB defined? If so, what is the order…

A:

Q: 1. If A is 3x3 matrix with det(A) = 5 then det(3A) %3D O 3(5)=15 9(5)= 45 O 27(5)= 135 5(5)(5)= 125

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Q: C be the matrix defined as a₁ an C = a-1 9₂ az az a a₂ a, a az a4 1 A an an-l an-2 a₁

A:

Q: 1) Find a diagonal matrix A that satisfies A-2 20,

A: Here, we need to find a diagonal matrix A such that A-2=2004