Find the rank and the nullity of the matrix 1 A =| 1 -1 3 -3 -1 1 -2 -1 4 Warning: you only have 5 attempts for this question. rank(A) = nullity(A) = %3! rank(A) + nullity(A) = choose

Q: (2x1+3x2 - x3 +3x4 + X5 = 176 | 3x1 + x2-4x3 + 3x4 - x5 = 0 X1 + X2 + 3x3 - 4x4 + 2x5 48 %D X1 + 2x2…

A: The given…

Q: Diagonalize the following 3x3 matrix. [ {3,3,3},{3,3,3},{3,3,3}]

A:

Q: T 3 0 0 ? 0 2 [ 2 2 0 0. 0. 0 2 2 0 2 0 3 3 0 -2 | 2 -2 2 0 3 0 0 0 -1 4 -2 -2 -2 3

A: Explanation of the solution is given below...

Q: Note that the only entry in a 1 x 1 matrix is on the diagonal. The upper-diagonal of a matrix are…

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Q: Illustrate the Skew-symmetric matrix ?

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Q: On the augmented matrix A below, perform all three row operations in the order given, ((a) followed…

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Q: Why did you write the number of columns of A as 3 when the matrix has only 2 columns

A: Let given matrix is Using RANK-NULLITY theorem, we haveRANK(A)+NULLITY (A)=number of columns in…

Q: Is the following matrix diagonalizable¹? 3 B=0 0 -3 1] 3 1 0 3

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Q: 7. Let T1, T2, T3 represent the following row operations: T₁: Interchange rows 1 and 3. T2: Multiply…

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Q: Give an example of a 3 × 3 matrix with real inputs that is not similar to a matrix diagonal

A: A matrix is said to be a diagonalisable  if it is similar to a diagonal matrix. Therefore we need to…

Q: Use the

A: we have; 3x1-2x2+4x3=213x1+4x2-2x3=92x1-x2-x3=10

Q: 4 x x -4 3.) Solve for x: %3D 2 7 6. X -2

A: Explanation of the answer is as follows

Q: 3 M -4 2 1

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Q: Find the rank of the matrix

A: