Let A be a 3 x 4 matrix with reduced row echelon form given by [10 5 1 3 --- U = 0 1 1 1 If a₁ find a3 and a4 a3 = || 0 0 00] a4 -2 and a2 1

Q: Please check if my steps and answer are correct. The prompt is to diagonalize the matrix  12 -21…

A: The answer is in below steps.

Q: [4 -2] Let A be the matrix 1 Compute A50 1

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Q: Find f(B)

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Q: ifA &B are square matrices of the same order then (AB)^(2)

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A: In a reduced echelon form of a matrix, if there is a pivot element in a row then, the elements above…

Q: Describe the column space of a reduced row echelon matrix R.

A: Leading 1: When the leftmost entry in a row is 1 and all the entries above and below of the leading…

Q: ^T) + (B^T) and (AB)^T = (A^T)(B^T) if the orders of matrices are appropriate. * False

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Q: |a b X y m nl

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Q: Show that the given matrices are row equivalent and find a sequence of elementary row operations…

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Q: Using the given matrices, find the matrix A/B if:

A: Given,        A=2-3434-2-423, B=1-22-3342-23 To find the matrix AB.

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A: Let T be a 2x2 matrix given as T = abcd.Let the line be given by y = mx+c.Any point on the line can…

Q: Use the matrix P to determine if the matrices A and A' are similar. -1 -1 - 13 6 6 6 P=[¯1 ¯2]·…

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Q: Suppose column 1 + column 3 + column 5 = 0 in a 4 by 5 matrix with four pivots. Which column has no…

A: Null space: A set X of vectors is said to be the null space of the matrix A such that AX=0 and X is…

Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3…

A: Given matrix Want to express b as a linear combinations of columns on matrix A.

Q: t A be the square matrix (abcd) A. If ad−bc = 1, then show that A^−1 =(d−b−ca ) B. If ad−bc=α, then…

A: If  is a square matrix then its inverse is where

Q: (v) 0 -1 0 1 0 0 ma ~ 0 ( 1 a -1 0 0 0 a 0 0 a 1 0 1 000

A: Given: A matrix .To find: The Row operations by which the matrix is reduced to

Q: 3. Assume that A is an n × n matrix and A-¹ exists. Prove that (a) (A¹)−¹ – (A−¹)t. (b) (A²)−¹ –…

A: If A is an invertible matrix then AA-1=I (AB)T=BTAT At means interchange rows and columns in a…

Q: ππ|2 ff sin(2x)cos(3y)dx dy 00

A: Use the double integral separate the variable

Q: Explain why v = ( 1, 0, -1) cannot be a row of A and also in the nullspace.

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Q: Suppose

A: See the attachment

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A: A matrix is in RREF if it meets all of the following conditions: If there is a row where every…

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A: A square matrix M is said to be invertible if det(M)≠0 . If M is invertible,  then MM-1=I=M-1M ,…

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x2 + 2y2 + 2z2-2xy-2xz- 2yz,…

A: We have to find the quadratic form of the equation Q=2x2+2y2+2z2-2xy-2xz-2yz which is a polynomial…

Q: Rank of the matrix A = (a) 1 (b) 2 (c) 3 (d) 4 1234 6 7 8 765 2468 5 8 is,

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Q: If every row of a 4 by 4 matrix contains the numbers 0, 1, 2, 3 in some order, can the matrix be…

A: We can try to construct that. If every row of a 4 by 4 matrix contains the numbers 0, 1, 2, 3 in…

Q: Given A = 1 1 0 3 Compute 5A *Matrix

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Q: The symmetric matrix corresponding to the quadratic form X1 x2 = x} – 2x1x2 + 2x1x3 – 3x + 4x2x3 –…

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Q: Could a 4 by 4 matrix A be invertible if every row contains the numbers 0, 1, 2, 3 in some order?…

A: We know that a 4×4 matrix has four rows and four columns. A matrix is said to be invertible if the…

Q: Use the following simultaneous equations to answer questions 8 and 9: -X1 + 2X2 + 4Хз %3D -3 4X1 –…

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Q: Find all 2 by 2 matrices that satisfy AA^t=O

A: Since it is given, AAT=0  multiply by A-1 from the left A-1AAT=A-10 AT=0  which implies A is not…

Q: Use the matrix P to determine if the matrices A and A' are similar. -1 -1 P=[11] 2 p-1 = 6 [2] 15…

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