2 C.)0 D. 1 -1 -5 --2 1 1 4 3 1 -12 1. Let matrix B = -2 What is the reduced row echelon form of B

Q: Give bases for row( A), col( A), and null(A)

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Q: Find conditions on a, b, c, and d such that B = as attached commutes with every 2X2 matrix

A: B=abcd Let A=uvxw BA=au+bxav+bwcu+dxcv+dwAB=ua+vcub+vdxa+wcxb+wd Let BA=AB…

Q: Find two examples to demonstrate that if (a-d)2+4bc =0 then A may or may be diagonalizable

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Q: In each of dhe tollowing , tactor the matrix A product xDX", where D as diagoral. in to a (a) 2 -8 A…

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Q: (a) If A is row equivalent to B and B is row equivalent to C, prove that A is row equivalent to C;…

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Q: Given the matrix 2 2 2 A = 0 2 3 7 7 1 Find the |A| by transforming the matrix A to the triangular…

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Q: Let A = ; 1.B - : J.c= , ], anc 2 37 ol.c = [ 1 and v = |1. What is the sum of the entries of the L4…

A: Note: We know that for matrix P of order m*n and Q of order n*t, the multiplication PQ is possible…

Q: We call a matrix B a square root of A if B2 = A.

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Q: Let A be a nonsingular n × n matrix and let B be an n×r matrix. Show that the reduced row echelon…

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Q: Given is the following set of equations X1 4.8 18 10.8 38.4 X2 7 14.68 39.4 X3 where the coefficient…

A: Introduction: The motivation for a LU decomposition stems from the observation that systems of…

Q: Give bases for row(A), col(A), and null(A). 10 -1 A = 1 1 3 row(A) col(A) null(A)

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Q: Enter the missing coefficients for the row operations. 1 0 (1) O R, - R;: 0 3 1 15 5 2 -4 28 1 0 O…

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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: Suppose A= #B+C where B is symmetric and C is skew-symmetric matrices, 56 B = b12 then byn %3D O a.…

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Q: Q/ Let A: am et fox)= 2x- 子 4x+5 whene I Find FCA) is unit matrix

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Q: Find a sequence of row operations carrying h, + G b, + 12 b, + c, q + a c2 + az a, + b az + b, a, +…

A: Note : According to our guidelines we are supposed to answer only one question.Kindly repost other…

Q: Let D = P'AP be a diagonal matrix, wher %3D Pesell thet if D:

A: Given, D=P-1AP be a diagonal matrix, where P is an orthogonal matrix. To prove that A is symmetric.

Q: Find the (2,3)-entry of the reduced row echelon form of the following matrix: [1 2 -1 4 -2 [0 1 1 O5

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Q: If A is m x n real matrix and it has n independent columns then a. Rhas no zero rowsS b. r=m Oc. m2n…

A: According to questionIf A is m×n real matrix and it has independent columns

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

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Q: Give the matrix associated with the quadratic form 10(x,)? – 5x,x2 +6(x,)².

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Q: Given that D = [2 3] 3₁], find the entry in row 2, column 1 of the matrix p−¹.

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Q: Which of the following is not in reduced row echelon form?

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Q: Find the element in row 1, column 3 in the matrix W, where W= (BT+A")T, [13 A = [31 45 2 31 21 19 8.…

A: A matrix is a mathematical object in which numbers are arranged in rows and columns. If a matrix…

Q: if (A|b) is in reduced row echelon form, prove that A is also in reduced row echelon form.

A: (A|b) is the augmented matrix formed by placing elements of matrix B to the right of elements of…

Q: 1. The tip of the directed line segment w is at point (40, 30) wh owing two - dimensional row matrix…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve one…

Q: Suppose A = = B +C where B is symmetric and Cis skew-symmetric matrices, (5 6 b b12 b12 b2 then %3D…

A: Matrix A is symmetric if and only if  AT= A Matrix B is skew symmetric if and only if  BT= -B…

Q: Find the matrix A (in terms of B and C) if (3.4T + 4BC )T= 5.4 – 3C A)}(4B"cT + 3C) (B)}(4C"BI- 3C)…

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Q: Use the row method or column method (as appropriate) to find the first column of BA. [3 A= |6 -3 2 2…

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Q: Give bases for row(A), col(A), and null(A). 2 -4 2 0 1 A = -1 2 1 2 3 1 -2 3 2 4

A: Find a basis for row(A). Row space of a matrix is the span of row vectors of the matrix A and column…

Q: Which matrix is of the reduced echelon form? Oa. (1 2 04 0 0 2 7 Ob. 1 2 5 0 13-7 10 1 0 0 0 01 0…

A: To find the reduced echelon form of given matrices.

Q: Given matrix A = ( 2 −1 3 5 ) , and that h(T) = T 2 − 2T − 7, find h(T)

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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: Given Matric C, find Matrix C 40.1 22.9 154.9 C = 78.6 21.9 88.9

A: the transpose of a matrix is obtained by changing its rows into columns and its columns to rows…

Q: 30 mins left ty

A: We have to find which matrix is in reduced row echelon form

Q: D = 3 1-2 0 0-4 ** 5 -4 5 3

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Q: (d) Write down the matrix of the quadratic form Q(x1,x2, 3, x4) = x +2x3 – 7x3 +xỉ – 4x)x2+ &x,x3-…

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Q: Use row operations to change the matrix to reduced form. 1 1 1 18 345 28 1 1 1 18 345 28 ][

A: The given matrix: 1113451828.We need to perform row operations to  change the matrix to reduced…

Q: Give bases for row(A), col(A), and null(A). 2 -4 2 0 1 2 1 2 3 1 -2 3 2 4 A = -1 II

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Q: List the ordered pairs in the relations on {1,2,3} corresponding to the matrix, [1 0 = 10 1 1 11 1.

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Q: If Matrix A {(a b c), (x y z), (l m n)} = 4, what is the value of matrix B {(a b c), (2a 2b 2c), (l…

A: If two rows of a matrix becomes identical then determinant of that matrix is zero.

Q: Given matrix A = (2 /3 |−1/5) and that h(T) = T2 − 2T − 7, find h(T).

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Q: hatate the following triangle uith Q= 45° by the accemate diagram and I final matrix 12 C50,50)…

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Q: Use the theorem given below to show that if two rows of a square matrix are equal, then det A = 0.…

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Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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Q: Let B = {b1, b2} and C = {c1, c2} be two bases for R, where %3D bị b2 C1 = C2 = 8 b1 what is the…

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Q: Which of the following is not in reduced row echelon form? [1053] 0 121 0 0 00 A) -1 70] 001] B 1 0…

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Q: 4. Suppose that a, b, c, d, x, y, z are real numbers, and consider the matrix 0 0 0 d 0 0 c 0 b y 0…

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Q: Perform the row operation R, and replace R, on the following matrix. 70 0 28 0 50 6 0 0 5 8 70 0 28…

A: We want to perform given operation

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.