If A is what a matrix satis fying A3= A about det A7 %3D can you say

Q: For matrix A, B if A – B = O, where O is a null matrix then * A = B B = 0 A = 0

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Q: Suppose that A (A, then det(B)- Select one: A. 15 OB. 5. OC -15 ODO th ) is a (4 x 4) matrix, where…

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Q: If A is a 5 x 6 matrix and the sum A + B can be computed, what is the size of B?

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Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: Explain why the matrix A + C does not exist.

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Q: Suppose A is 17x17 matrix with A^29=0 Then A^17=0.

A: Here given that A is 17×17 matrix and A29=0.

Q: Suppose that A is a 10 x 4 matrix, and that B is an equivalent matrix in echelon form. If the number…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: |a b X y m nl

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Q: Let A 1B = 5 l, and C-1 = If X is a matrix that satisfies: %3D %3D 2B = Al2 - XC then X is

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Q: 3 0 A =|-3 7] 1 -1 2 4 91

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Q: We will define a checkharel matrix to be a Square matrix A = (d), where di; = { 1 if it; is even Lo…

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

Q: Suppose A is a 5 x 5 nonsingular matrix, and Bis the result of exchanging the second and fourth rows…

A: If a matrix A is non-singular then all the rows and all the columns  of A are linearly independent.

Q: If A=2B where A and B are square matrices of order 3x3, and det(B)%3D5, what is det(A)? Select one:…

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Q: Is it possible for a matrix to be both upper triangular and lower triangular? Oa. Yes O b. No

A: Solution

Q: Suppose a 4x6 matrix A has four pivot coloumns. Is Col A=R4 ? What is the dimension of Nul A? What…

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Q: If A = [1 2 3], which type of the given matrix A ?

A: Given Matrix A=[1  2  3 ]1×3  Here number of row=1  Number of columns=3

Q: For a square matrix A, AAT = AT A. A True В False

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Q: If A is an n×n matrix with Col A​ =Rn​, how many solutions will there be to Ax​=b​, for any b in…

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Q: 6. If A is a 4 x 2 matrix and B is a 3 x 2 matrix, what is the size of ABT?

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Q: Suppose that A is a 9 x 5 matrix, and that B is an equivalent matrix in echelon form. If the number…

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Q: Suppose that A is a 4 x 4 matrix with det(A) = 5. Then + (24–1) - [2 Enter your answer exactly, as a…

A: We have to find determinant

Q: The matrix A5 x 3 may have a rank = 4 %3D Select one: O True O False

A: Answer:   False  As rank of a matrix is always less than or equal m or n if order of matrix is m x…

Q: Let A be an m×n matrix such that Ax​=b and Ax​=c each have a solution for some choice of b and c in…

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

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Q: If A is a 2 x 3 matrix and the sum A + B can be computed, what is the size of B?

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Q: m below using LL + = fr+ x+ 4.x, – 2x, = 4 9 = 'xp-+ x7+ of the matrix in a

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Q: If the characteristic poynomial ofa matrix A is der 21 -A)= -32°+32°+2 then det(2.4) =

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Q: If A is an invertible square matrix that is row equivalent to matrix B , then both A and B are row…

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

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

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Q: Let A =mnd B- then the matrix (2AB + A")" is equal to O None of these O equal to the above 2 17

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

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Q: Given a 3x3 matrix that det (A)=8 find the valueb) of c if in terms of a scabrcand A=12 3. 24 C-2 3…

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Q: Are the two matrices similar? If so, find a matrix P such that B = P−1AP.

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Q: If A is n x n matrix, invertible, and B is n × n. Then Col(BA) =Col(B) O True O False

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Q: For which values of the parameter a (if any) is the matrix invertible? Justify your answer. [1 07 а…

A: A matrix is invertible if and only if its determinant is non-zero.

Q: Given C and D are matrixes, and their products CD and DC exist, what can we tell about their…

A: Matrix multiplication is the process of multiplying two matrices using dot product. Dimension of a…

Q: If A=2B where A and B are square matrices of order 3x3, and det(B)%3D5, what is det(A)? Select one:…

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Q: If A, B, and C are n x n invertible matrices, does the equation C-1(A + X)B¬ = In have a solution,…

A: Given A, B and C are n×n invertible matrices.

Q: Suppose A = is positive definite matrix then: 10 O a. Ja| V20 O c. la| < 20 O d. a < -V20 2.

A: Since positive symmetric metrix Det(A)&gt;

Q: Could a 4 x 7 matrix have dim Col A​=5 and dim Nul A​ = 2?  Justify your answer

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Q: If a and b are the matrices of order 3 and (A)=5,(b)=3 then find the vailue of 3ab?

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Q: Given the matrix a – 2 3 - a 4+ a A = a +5 2а +9 -а-1 2а- 3 3+а 8 - a 1+ a For what values of a is A…

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Q: Find the LU- Factorization of the matrix A below 1 -2 3 A = 2 1 -4 4 1-4 6. 5 -2

A: Given 21-1-20321-441-465-2

Q: you have the matrix 30 1 A = |-1 2 0 3 1 2 Very specific inverted?

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Q: Suppose A is a matrix of order p × q and B is a matrix of order q × r, then illustrate the order of…

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Q: If A is a 6×1 matrix and the sum A+B can be computed, what is the size of B?

A: Matrix addition. If A and B are matrices of the same size, then they can be added. (This is similar…

Q: Let A be a 3x3 matrix where A2=I3, then det(A) is 1 or -1. Select one: 1-True 2-False

A: To find- Let A be a 3×3 matrix where A2 = I3, then detA is 1 or -1. True False

Q: If A is a 3x5 matrix, what is the largest possible value for its Rank? O 3

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