6. Consider the linear transformation T: R4 → R³, whose standard matrix is given below: 0 -1 -2 1 -2 -3 0 -1 -3 1 (a) Fi

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6. Consider the linear transformation T: R4 → R³, whose standard matrix is given below: 0 -1 -2 1 -2 -3 0 -1 -3 1 (a) Fi

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6 Consider The Linear Transformation T R4 R Whose Standard Matrix Is Given Below 0 1 2 1 2 3 0 1 3 1 A Fi 1
6 Consider The Linear Transformation T R4 R Whose Standard Matrix Is Given Below 0 1 2 1 2 3 0 1 3 1 A Fi 1 (27.8 KiB) Viewed 13 times
6. Consider the linear transformation T: R4 → R³, whose standard matrix is given below: 0 -1 -2 1 -2 -3 0 -1 -3 1 (a) Find the dimension of the kernel/ null-space of T. Also, find the dimension of the image of T (i.e. the rank of 7 (b) Write down an explicit basis for both kerT (which is a subspace of R¹) and imT (which is a subspace of R³).
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