4. For the following matrices in reduced echelon form write the solutions of the systems for which they are the augmented matrices 1000 0 -2 (a) 0 1 0 0 -4 0 0 0 1 9 0 0 0 00 4 0 (b) 10-5 -6 0 -5 0 1 -6 -3 0 2 0000 1 4

Q: Find the reduced echelon form of this augmented matrix 1 0 0 250 1 10 400 -1 1 1 350.

A: We have to find the reduced matrix of the given augmented matrix.

Q: Solve the following system of equations by usiny the inverse matrix method X+2J+22 -ち=0 3と+Z-29 =-6…

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Q: (iii) 12 2 3 1 2 3 6:9-69-GD-6) 3 3 3 11 1 1 0 00 1 2 3 4 5 7 8 1 2 3 0 -1 -2 0 0 0 The rank is 2.

A: To determine the row operations performed on these matrices.…

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Q: Find the general solutions of the systems whose augmented matrices are given

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Q: 6 0 -1 -3 23*2 4 -3.0 2 4 -5 -13х2

A: As per the question we are given an expression consisting of two 3×2 matrices and their linear…

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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: 2 2 1 6 4 4 1 10 88 8 -1 4 13 26 23

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Q: 1 -5 0 0 | -2 1 0 0 7 5 | -5 0 1 0 | 3 j. 0 1 -4 -3 2 0 | 7 0 0 1 6 -2 | 4 0 0 0 | 1 0 0 6 | -5 1 -5…

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Q: (18) Does a 2 × 2 diagonal matrix commute with every other 2 × 2 matrix?

A: We have to check

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Q: The reduced row echelon form of the matrix A is 2 0 0 0 1 0 0 0 1 Find three different such matrices…

A: The given matrix is 120001000. Multiply the first row by 2 and obtain 240001000. Multiply the second…

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Q: Give a 3 x 3 elementary matrix E which will carry out the row operation (-9) R₂ R₂. E= Test that E…

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Q: ind the 3x3 matrix that is equivalent in it's action to each of the

A: Given: To find 3×3 matrix that  equivalent to the symmetry operators are, a  S^2zb  C^2z

Q: [2 2 Give two different matrices B so that in each case B 2 2

A: Given matrix

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Q: Consider the matrix -2 0 -3 -1 -1 1 0 -2 B = A = −1 -2 -2 -3 2 3 Perform the following row…

A: Solution

Q: Find the column space and the nullspace of the 3 x 333 matrix 4 7 10 994 997 5 8 11 ... 995 998 6 9…

A: We apply for operations on the given matrix.

Q: Find an LU -9 -9 0 2 -45 -63 72 62 L U = factorization for -8 -8 8 8 -104 -111 56 36

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Q: 2. The following matrices correspond to the augmented matrix of a linear system of equations. GIve…

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Q: Using the matrices method (Kramer) solve the following linear equations *+2y+3z = -1 2x+5y+7: =-2…

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Q: (b) For matrices A = compute following (i) AB and BA -1 -2 1 " B = [ 3² 3], 0 = [-2² 1²/2 41-²-3 and…

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Q: lue of x, if the g 5 10 is singula

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