A is a 4 by 4 matrix with 1 's on the diagonal and -a, -b, -c on the diagonal above. Find A - 1 for this bidiagonal matrix.

Q: The reduced row echelon form of the matrix A is I3 . Describe all possible matrices A.

A: Consider the reduced row echelon form of a matrix A is I3. We need to determine all possible…

Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4 -8 8 -4 A = 8 - 14 11 -5…

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Q: Let A be an nxn matrix and B= A+ I, where / is the identity matrix, then it is possible for A and B…

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Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4. A = -4 -3 L U

A: We have to find L and U matrix.

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: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 -3 L = U =

A: First, define the matrices L and U . Let, the matrix L be defined as L=10l211 Let the matrix U be…

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

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Q: lues of a 4 x 4 matrix A are given by 2, 1,5, 4, the

A: We have to choose the correct answer from the given option according to the given condition

Q: Determine if the matrix, M is diagonalizable. Show your complete solution. 25

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

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 2 -4 A = 4-4 3. - 1 18 -3

A: The LU factorization of a matrix A is writing A as the product of matrices L and U, where L is a…

Q: A square northwest matrix B is zero in the southeast comer, below the antidiagonal that connects (1,…

A: It's a very conceptual question and will need lots of grey matter. Please read the question…

Q: Find a 3 by 3 matrix that scales the point (x,y,z) by 2 in the x direction and 4.5 in the direction,…

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Q: Which of the following matrices is not in Row Echelon Form (REF)?

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Q: If A is a rank one matrix, the second row of R is ___ . Do an example.

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Q: Construct a 3 x 3 matrix, not in echelon form, whose columns do not span R. Show that the matrix you…

A: We have to construct a 3×3 matrix, which is not in the echelon form and whose columns do not span…

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

A: Let the genral 6*6 matrix is given by…

Q: 2 -3 -2 3 1 2 -2 -1 3 3 [ 3 2 -2

A: The given matrix is  A=  2-3-2   3  1   2-2   0-1   3   3   2   3   2   2-2

Q: Assume that A is a matrix with three rows. Find the matrix B s trix resulting from A after the given…

A: Given: - A is a matrix with three rows. the given row operations are performed. 5R2+R3⇒R35R1⇒R1 To…

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 - 4 2 - 8 2 - 1 A = 10 8…

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Q: Find a 2 x 2 matrix such that -3 1

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Q: Reduce the matrix to echelon form and find its rank

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Q: Give an example of a 3 x 3 upper triangular matrix A that is not diagonal. A =

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Q: Write the 4 x 4 elementary matrix which accomplishes the row operation R3 - 5 R2 ---> R3 when you…

A: let  I be the 4×4  identity matrix I=1000010000100001

Q: Let A be an mtimes×n matrix and let B be an ntimes×p matrix. If the first row of A consists only of​…

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Q: Find the indicated Matrix, if possible. Show and explain your work. |ЗА +В

A: A=4-472B=-243-73A+B = 34-472+-243-7

Q: Consider the matrix 2 -1 5] -2 We can obtain 1 in the shaded position if we multiply all the numbers…

A: To determine the number by which multiplying in the row shaded position becomes 1.

Q: [-1 -1, |-5|,|5 4. 3 17

A: We have to find the dimNul(A), dim row A and rank. where A is the matrix consisting of columns…

Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

Q: Let A be 5x1 matrix. Knowing that Rank (A) = 2. Then Nullity(A) is equal to: O 2 ONone of these

A: The solution is given below in the next step:

Q: erse of the given matrix

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Q: Find the inserve if it exists, of the following matrix. 1 2 1 1 1 2

A: The give matrix  is, 1 1 -1 2 -1 1 1 1 2 The determinant of the above  matrix is,…

Q: Let matrix A be 2 by 2 matrix and 1 A. 4 and 1 4 .2) 2 Then what is A=? ||

A: At first we will suppose a matrix A as 2x2 matrix and simplfy second condition by pre multiply by A…

Q: To divide the LHS by a matrix on the RHS, what steps do you follow?

A: To find: To divide the LHS by a matrix on the RHS, what steps do you follow?

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

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Q: 3 (i);- 2

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Q: Suppose A is a 3x3 matrix. Let B be the matrix obtained from A by performing the following…

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 3 L = U =

A: Given that, A = LU

Q: Find a matrix P that diagonalizes 1 0 0

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Q: Solve the Matrix Equation XAB-BAX=X with A,B,X are nxn matrix with A,X are invetribles.

A: The given matrix equation is, XAB-BAX=X where A, B and X are n×n matrices with A and X invertible.

Q: I. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c)…

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Q: I1,I2,I3 of th

A: Here we have;  11I1+4I2+3I3=-4-15I1+4I2+4I3=163I1+4I2+17I3=3 let;  AX=B  where  A=1143-15443417,…

Q: Find an LU factorization for the matrix: 1 2 1 2 1 2 -2 0 1

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Q: Give the 4x4 matrix that rotates the points in R about the z-axis through an angle of -30°, and then…

A: We have to find the 4×4 matrix that rotates the points in R3 about the z-axis through an angle of…

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 an nxn matrix and B= A+I, where / is the identity matrix, then it is possible for A and B…

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Q: Find 4x4 nilpotent matrices of indices 2, 3,  and 4

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Q: Find an elementary matrix E that corresponds to the row operation of adding – 4 times Row 1 to Row…

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Q: Find a 2x2 matrix that forms an angle of n/3 radians with the matrix P 2 0 p = 0 2

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Q: Since it is, find the matrix P ^ -1 by using the adjoint matrix of the P matrix.

A: We are given that  We need to find the inverse of p-matrix