4 Compute x using the vectors w = -2 and x = (Simplify your answer. Type an integer or simplified fraction for each matrix element.) LO

Q: State the dimension of the matrix. 7 1 30 08 10 6

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Q: Write y as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to u. 7 3. Let y =…

A: Find the orthogonal projection of the vector y on u., which will give the y^. Then to find z,…

Q: Write down the name of the matrix according to the definition... 19. A"-0 20. AA'=I

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Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

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Q: If A is m by n, how many separate multiplications are involved when(a) A multiplies a vector x with…

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Q: Calculate BA where A and B are the following non-square matrices: 1 3 1 0 3 A = B = 2 %3D 2 1 5 2

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Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

A:

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 – 2xy – 2xz –…

A: Step:-1 Given quadratic form is  Q=2x2 +2y2 +2z2 -2xy -2xz -2yz Q=xyz 2-1-1-12-1-1-12 xyzQ=XTAXHere,…

Q: Compute the indicated power of the matrix.

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Q: Consider the following matrix and vector: 1 1 A = 1 -4 0 -3 -2 and x = 6

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Q: Write (a) the row vectors and (b) the column vectors of the matrix.

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Q: Q/ A seume where I .4.3 A = and yasaxニメ+I 3. unit Matrix, Find YCA) ? is 526

A: Solution: The objective is to find y(A)

Q: ucing adjojnt OF the ma trix Following matrices iF pC 3 I 2 a. -2 4 2 3 2.

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Find a 2 x 2 matrix B + 0 and B + 1, such that AB = BA, where A How many such matri- 2 ces B are…

A: Given data: The matrix is given by "A". A=1221 Consider the matrix "B". B=abcd According to the…

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: Q2: Using the colon symbol, create a 3x5 matrix (assign it to a variable named msame) in which all…

A: Colon symbol terminate present row and startfrom new rowie abc;efgabcefg

Q: |Q1/ Find the transpose for A(3×4) matrix. Q2/ Add two (2×2) matrices and put result into new…

A: We have to find A' and A+B

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: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Find the transpose of the matrix. 1 4 62 4 98 3 6 8 9 0 2 3 08

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Q: Use A-1 =(1/detA)adj A to compute the in­verse of the coefficient matrix x + y = 1   x-y=2

A: x+y=1 x-y=2 We need to find the inverse using A-1 =(1/detA)adj A

Q: Express the matrix as a product of elementary matrices 2 2 07 [1 A = |0 L3 1 1 3 8 7 ]

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Q: Express Ac as a linear combination of the columns of A.

A: Given A=2-34-1235-1-2   C=214

Q: 4. Determine if the vector b is in the span of the columns of the matrix A, where [1 2 3 A = 7 8 10…

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Q: (a) Find the matrix A so that AB=C, where а, а, а, B= b, b, b, & C= b, b, b, a, az az (2 rows are…

A: Given B=a1a2a3b1b2b3c1c2c3 now using row operation R1↔R3 ~c1c2c3b1b2b3a1a2a3

Q: Find an LU factorization of the matrix A (with L unit lower triangular). -3 3 A = 3 - 3 6 15 18 L =…

A: Topic = Matrix

Q: Use the definition of Ax to write the vector equation as a matrix equation. 7 4 2 9 +X3 +x2 HOO -9 9…

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Q: If A and B are nxn matrices .Find the cost of calculating A? + BAB.

A: Given A and B are n×n matrices.  To find the cost of A2 + BAB

Q: 43. For square matrices A and B, is it true, in general, that (A + B)-1 = A¯1 + B¯!? Explain.

A: Explanation of the answer is as follows

Q: Q4: If the matrix A = (; :),s Show that A2- 2A – 21 = 0.

A: We observe that characteristics eqn of A will be x^2-2x-2=0. By Caley hamilton tum put x=A we get,…

Q: 4. Consider the 3 x 2 matrix A such that A - and A (a) Write down A. (b) Is A singular? Justify your…

A: 4. The given equations are,A.12=201 and A.21=201

Q: Express the column matrix b as a linear combination of the celumns of 4. (Use A, A» an A = b =

A: We will use three colums of A as A1, A2, A3 and then solve it in step 2.

Q: Construct a 3 x 3 matrix A with every entry non-zero such that the following vector b is in the span…

A: See the attachment

Q: Use Proposition 2.50 to state Jacobi's method and the Gauss-Seidel method in matrix notation for the…

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Q: Use the definition of Ax to write the vector equation as a matrix equation. 3 4 - 2 7 -3 + X2 - 9 5…

A: Given vector equation- x13-501+x24-3-99+x3-267-6=7198 To write the vector equation in matrix…

Q: Find matrix A, given that: :) 8. -2 2A-1 10 9.

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 2 take inverse on…

Q: Write (a) the row vectors and (b) the column vectors of the matrix. [6  5 −1]

A: The vector-matrix [6  5 −1] We need to  Write (a) the row vectors and (b) the column vectors of the…

Q: Find all a and 3 > 0 so that the matrix B = 23 6 2 is 2 ally dominant:

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Q: Show by direct calculation for 2x2 matrices A, B, C that A(BC)

A: To prove that  for 2×2 matrices A, B,  that A(BC)=(AB)C.

Q: Find an LU factorization of the matrixA (with L unit lower triangular). 2 4 -2 -2 -2 -6 5 3 A= 4 0…

A: We have to solve given problem: Concept:

Q: Let A be the following matrix 9 9 9 0 3 3 0 0 2 Then for which column vector b, the equation Ax bhas…

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems. But I am…

Q: 6) Find the SVD of the matrix by manually calculating U 4 11 14 A = 8 7 -2]

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Q: Write the column vectors and row vectors of the given matrix. 1 13 4=-1-2 2 6

A: Given matrix is :

Q: Use the definition of Ax to write the matrix equation as a vector equation. - 4 -7 - 20 -5 8 -2 42…

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Q: Suppose that Q is a matrix with the property Q−1 =QT . Show thatqij = Qij/det(Q)

A: Given: Q-1 = QT To Prove: qij = Qij/det(Q) Formula Used: If A is a square matrix, then its inverse…

Q: с pose the vector -6 is in the nullspace of the matrix d 6 -4 34 1 -5 23 1 -7 rmine c and d giving…

A: Topic:- application of algebra

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: Let A be nxn orthogonal matrix and v E R". Then ||Av||? = || ||?. %3D Select one: True O False

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Q: Find the LU factorization of the following matrices without pivoting 1 2 3 a) A = 2 54 354

A: