2. Consider the following matrices: 1 1 0 10 1 € M3x3(Z₂), 0 1 1, (3) 2 1 1 2 € M3x2(Z3), 112 2001 M3x4(Q). 1 1 2 1 (a) Put each A into reduced row echelon form R. (b) Put each R into column echelon form. (c) For each A, find B, C as in Corollary 1 of Theorem 3.6 in the book.

Q: How many "same" types of 1 by 3 matrices in reduced row-echelon form are there? (a) 2 (b) 3 (c) 4…

A: The general form of 1 by 3 matrix is, abc

Q: Is the matrix A = 1|2 TILL -1 1 1 -1 -1 1 1 -1 1 1 -1 is orthogonal matrix.

A:

Q: If A and B are 3 x 3 matrices, det(A) = 3, det(B) = -6, then det(AB) = det(2A) = %3D det(A") =…

A:

Q: Ei) dim(COLA) is (ii) dim(ColA)- is (ii) dim(RowA) is (iv) dim(RowA)- is (v) dim(NulA) is

A:

Q: 4x+5y+4z = 8 3x+3y+ z =-9 5x+5y+2z = -1 Write the augmented matrix:

A: For a system of equations is a matrix of numbers in which each row represents the constants from one…

Q: Let a = (a;) be an n-rowed square matrix and I12 be the matrix obtained by interchanging the first…

A: we have solved this question by using an example.

Q: Let A be a 3 x 3 matrix, and B be a nonsingular 3 x 3 matrix, such that det(A) = 12 and det(B¹A)=…

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Q: Two matrices A and B and two numbers c and d are given. Compute the matrix CA A = CA + dB = 6 -4 9 4…

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Q: What is the rank of the matrix A = 2 1 5 -1 2 -5 0 3? -3

A: See this solution in below.

Q: compute the indicated matrices A + 2D

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Q: Give a specific symmetric 3x3 matrix whose first row is [1 9 -2] 6. and whose second column is row…

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Q: 3. Tell whether the statement is true or false. If true, provide a proof. If false, provide a…

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Q: 1 1 2 A = 0 1 2 3 12 1 2 3 B 4 3 6 5 5 10

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Q: 1 0 0 6 A 0 1 0 7 0 0 1 1 1 0 0* 0 1 1 0 0 0 0 1 В 1 0 0 4. 0 0 1 5 0 0 0 0 1 0 0 4. 0 0 1 5 0 0 0 0

A: A matrix is in reduced row-echelon form if the following holds: 1) All the leading elements are 1.…

Q: Suppose that B is a square matrix with det(B) = -2. Find each of the following. (a) det(B6) = (b)…

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Q: If A and B are 2 x 2 matrices, det(A) = -2, det (B) = 7, then det (AB) = det (2A) = det (AT B³) = ₁…

A: We use determinnant properties (i) det(AB)=(det(A))(det(B)(ii) det(KA)= , Here k is constant and n…

Q: Find an invertible matrix X and a diagonal matrix D such that X-1 AX = D. You don't need to compute…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 1 2 Let (A – 21)-1=| 3 4 where / is the identity matrix,then A = Select one: а. 0 3 7 3 2 2 b. 1 3 3…

A: A-2I-1=1234 Taking Inverse both sides, we get…

Q: If A and B are 4 x 4 matrices, det(A) = 1, det(B) = 4, then det (AB) = det (-3A) = det (AT) = det…

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Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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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: Let A and B be two matrices innRREF , if they are row equivalent then A=B.

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Q: Diagonalize the matrix [5 -14] 4 -10 A = by writing it as A = PDP-¹ P = D = P-1 =

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Q: inear interpolation) Calculate the linear Lagrange polynomial for In(x) on 9.0 s xs 9.5 , and from…

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Q: and B are square matrices with dimension 2 x 2, C is a matrix with 5 columns. What should be the…

A: Matrix CD is square matrix because A is square matrix.  And CD is define if column in C is equal to…

Q: If matrix [A] is a 5x5 matrix and a matrix [Z] is obtained by the row operations of replacing Rowl…

A: .

Q: Consider the matrix A = Calculate a22 = 8 5 d n -( :-(29 766 b f 468 h с Calculate 932 = a e

A: It is provided that: A=852766468·dngbfahce. We need to calculate a22, a32.

Q: If A and B are 2 x 2 matrices, det (A) = 3, det (B) = 4, then det (AB) = = det (-2A) = det (AT) det…

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Q: Multiply matrix A with matrix B as BA if it is given that: 1 2 -1y 2 2 1 -2 2 -1 and B =| A = 3 1 -1…

A: