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find a basis for the row space of A

Question # 00188744
Subject: Statistics
Due on: 02/06/2016
Posted On: 02/06/2016 09:14 AM

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the reduced row-echelon form matrix A = [1 3 2 4] [1 3 0 0]
[2 6 1 2] [0 0 1 2]
[2 6 2 4] is [0 0 0 0]
[2 6 3 6] [0 0 0 0]
please show complete solution.
a.) find a basis for the row space of A.
b.) find a basis for the column space of A.
c.) what is the dimension of the column space of A.
d. find a basis for the solution space of Ax = 0.
e.) what is the dimension of the null space of A?

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find a basis for the row space of A

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Tutorial Preview …is xxxxx are x linearly independent xxxxxxx in the xxxxx matrix xxxx xxx columns x and 3 xx can see xxxx Column2 x x * xxxxxxx and Column4 x 2 * xxxxxxx (These xxxxxxxxx xxx more xxxxxxx in the xxxxxxxx matrix A) xxxxx a xxxxx xxx the xxxxxx…
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Preview: relations xxx more xxxxxxx in the xxxxxxxx matrix A) xxxxx a xxxxx xxx the xxxxxx space of x is {1000, xxxxxxx terms xx xxx original xxxxxx A, a xxxxx for the xxxxxx space xx x is xxxxxx 2123}(c) Dimension xx the column xxxxx of x xx equal xx the rank xx A which xx 2(d) xxxx xxx row-reduced xxxxxxx form of xx we getx2 xxx x4 xxx xxxxxxxxxx x1+3x2=0,.....
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