Which of the following subsets of R3X3 are subspaces of R ³x3? A. The 3 x 3 matrices with all zeros in the second row B. The invertible 3 x 3 matrices C. The 3 x 3 matrices in reduced row-echelon form 0-0 = E. The 3 x 3 matrices whose entries are all greater than or equal to 0 OF. The diagonal 3 x 3 matrices D. The 3 x 3 matrices A such that A 4

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A: Using Determinant and elementary row operations,

Q: True False

A: First Part: For the given matrix A, Order=4Rank=3 Note that the rank represents the number of…

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Q: A - [4 = 2 5 5 c=[-³3 C - 1 3 2 3] 0 - 2 1 B = D= 1 5 6 1 0 - 8 2 - 4 1 5 0 - - 3 1 2

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Q: IV. Classify each of the following matrices according as it is (a) real, (b) symmetric, (c)…

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Q: 3. Matrices and vectors a. Compute the following [2 marks] -5x² + 7y² + 2z² + 2xy + 8xz -6yz -5x² +…

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Q: Find a vector that spans the kernel of the following matrix: [ 1 0 2 4 ] [ 0 1 -3 -1 ] [ 3 4 -6 8 ]…

A: LET MATRIX IS A=1  0   2  40  1-3-13  4-6   80-1   3  4 NOW, THE KERNEL OF A DEFINED AS-:…