If A is 3x3 nonsingular matrix such that AA =A A and B=A A then BB= -1 T Select one: -1 a. В -1.T b. (B) C. I+B d. I

Q: Consider the following matrix A-( ) %3D If the cigenvalues of matrix A are 4 and 8, then r = 5, y =8…

A:

Q: If the matrix A is of order 2x4, then the rank of A is: Select one: O a. Greater than 4. O b. Less…

A: 1. If the matrix is of order 2×4, then the rank of A2. consider the vector space V with dimension=n,…

Q: Find the LU factorization of the matrix A, where 3 -5 2 3 2 -2 A = -1 -6 1 -1 -4 1 2 1 2.

A: We know that A = L U where L is the lower triangular matrix and U is the upper triangular matrix.

Q: If A and B are square matrix of by n x n order. Then (A- BA– B) is equal to A. A + B - 2AB В. А? +…

A: A detailed solution is given below

Q: If the order of the matrix A is (3 x 5) and Bis (5 x 6) then the order of the matrix (A - B) will be

A:

Q: Find a 2 by 2 matrix that reflects the point (x,y) abot the x axis?

A:

Q: The adjoint of the matrix (−3−2−1−1) is

A:

Q: If A is n x n matrix where |A| = 5 and |2A| = 80 then %3D a. n=3 b. n=2 C. n=4

A:

Q: A $124,000 trust is to be invested in bonds paying 9%, CDs paying 8%, and mortgages paying 10%. The…

A:

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: Due to what property, applied to the matrices below, do we know that A + B = B + A?

A: Due to Commutative Property Of Addition of matrices, we can say that: A+B=B+A. Where, A,B,C are…

Q: Find the matrix A (in terms of B and C ) if (ЗАТ + 4СТВ)Т3 5A - 4B

A:

Q: Find a 2 x 2 orthogonal matrix P whose first row is a multiple of (a) (3,–4), (b) (1,2).

A: Result: Rows (columns) of an orthogonal matrix are an orthonormal basis. Hence, each row (column)…

Q: Write the linear system x + 4y - z = 3, x + 3y - 2z = 5 and 2x + 7y - 5z = 12 as a matrix equation…

A: Given that, x+4y-z=3x+3y-2z=52x+7y-5z=12

Q: The rank of the matrix a = b = c is: 1 a b a² 6² 1 1 C where

A: Given :          matrix =[111abca2b2c2]Also given :  a=b≠c

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-AP is diagonal. (If not…

A: We have to check whether there exists an invertible matrix P for the matrix A=-500-4-22-20-2  such…

Q: Identify that the given matrix is Diagonalisable or not: -2 = | -2 6

A: A matrix is said to be diagonalizable if it is similar to a diagonal matrix. Also, if a matrix has…

Q: Find a 2x2 matrix that forms an angle of n/3 cadians with the matrix P -- (: 9) 2 0 0 2

A:

Q: If A is a 31x24 matrix whose rank equals 10, find dim(Nul(AT)). Your Answer:

A:

Q: Find a matrix A to safisty the following equation: -1 (AT – 5 2 3 1

A: to find the inverse of 2*2 matrix, the formula is

Q: Solue the syskm of ezuatoins by matrix メナ3y=7 2メ+y=4

A: 1321xy=74 Let 1321 be A , xy be X and 74 be C   AX = CX =A-1CA-1=1Aadj A A-1=-153525-15

Q: Due to what property, applied to the matrices below, do we know that A + B is a matrix of the same…

A: Given- Due to what property, applied to the matrices below, do we know that A + B is a matrix of the…

Q: The cofactor for the first elemet in the coefficient matrix for this system 2x+3y+3z= 2 4x- 3y-…

A:

Q: Determine the coefficient matrix A, the right-hand side vector b, and the augmented matrix, A of the…

A:

Q: If the matrix A is of order 2x4, then the rank of A is: Select one: O a. Less or equals 2. O b.…

A: The solution is given as

Q: If the matrix B is in span then what is the rank of B? OA. 1 B. 2 C. 1 or 2 D. 0 or 2 O E. O or 1

A:

Q: For the MAtrix       1 -2   4 A= 2   0   6       3   7   3 what is the vlaue of |A|

A:

Q: Find the matrix A (in terms of B, C, and D) if (4DA-'B )-1 = C

A:

Q: If A and B are square matrix of by n x n order. Then (A-BA– B) is equal to A. A + B? - 2AB В. А + B2…

A:

Q: Explain m x n matrix?

A:

Q: Find the symmetric matrix that corresponds to the quadratic form q(x, y, z) = 3x² + 4æy – y² + 8xz

A:

Q: A B А - R B Matrix becomes C D с D-R

A:

Q: If A = B x C, find the matrix A. B [ 1 -3 -2 201 C ·[ 2 -2 3 1 -1 0

A:

Q: If A is a 3 X 5 matrix, explain why the columns of A must be linearly dependent.

A: In A is a 3 X 5 matrix, explain why the columns of A must be linearly dependent. You have 5 column…

Q: Find 6x6 matrix | a, that satisfies the stated condition. Make your answers as general as possible…

A:

Q: Drag each set of column entrles to the correct locatlon In the matrix equation. Not all sets of…

A: This problem gives us the system of linear simultaneous equations. This system can be represented by…

Q: Supply a third column so that the matrix will be orthogonal: V5/5 2/3 2/5/5 -1/3 2/3

A: 1. A matrix Q of order n×n is said to be an orthogonal matrix if, QTQ=QQT=In where QTrepresents…

Q: Put as many 1's as possible in a 4 by 7 echelon matrix U whose pivot columns are(a) 2, 4, 5…

A:

Q: Let A be a 3 × 3 matrix and let b = 3a1 + a2 + 4a3 Will the system Ax = b be consistent? Explain.

A:

Q: Supply a third column so that the matrix will be orthogonal: V5/5 2/3 2/5/5 -1/3 0 2/3

A: The given question is related with orthogonal matrix. Given the matrix ,…

Q: Let A be an n x n matrix and let D be a n x n diagonal matrix. Show that AD =…

A:

Q: Find the matrix B such that 2AT+3B=0.

A:

Q: Find Hhe uinuerse of the matrix (if it exis ts). (if an answer does not exist, enter DNE.) 1 -3 -1…

A: Note:-  We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: Find the LU factorization of the matrix A, where 3 -5 2 -2 A = -1 -6 1 -4 1 2 1 2. 2.

A: Given matrix is A=−23−5232−22−1−61−1−4121. We have to find the LU-factorization of the matrix A. By…

Q: Let A be a 3 x 3 matrix with two pivot positions. Does the equation Ax = have at least one solution…

A: Given A is a 3×3 matrix with two pivot positions. To find if the equation Ax=b has at least one…

Q: Show that A is similar to B by showing that A and B are similar to the same diagonal matrix, where…

A:

Q: Let A be a square matrix and det(A) = 2. If B is the matrix that results when –7 times the first row…

A: