Homework Answers
I am assuming notation C(A) is form column space , so I have calculated the column space and the column rank of the given matrix . If C(A) represent anything else then please reply I will edit the anser. Thanks
Find C(A) 1 -3 4 -1 9 -26 -6 -1 -10 -3 9 -6 -6 -3...
Find C(A) 1 -3 4 -1 9 -26 -6 -1 -10 -3 9 -6 -6 -3 A = 3 -94 9 0 O a. 3 -1 6 - 1 C(A) -6 9 9 O b. -4 -9 2 6 C(A) 3 6 -4 0 8 C(A) = ON fono 0 O d. 4 9 -2 -6 C(A) = -10 -3 -3 -6 3 4 0 O C(A) = O o 0 Of. 1 4 *** 6 C(A) = -2 -3...
Find CA A= 1 -3 4 -1 9 -2 6 -6 -1 -10 -3 9 -6...
Find CA A= 1 -3 4 -1 9 -2 6 -6 -1 -10 -3 9 -6 -6 -3 -94 9 0 3 a. 0 CIA) = -- 4 9 1 -2 -3 C(A) = -10 -3 3 4 C. -4 9 10 CIA) 3 0 Od. O NO C(A) = осоо 0 0 e. 1 -2 -3 -6 CIA) = -6 3 4 Of 3 CIA) 9
Find N(A) A = 1 -3 4 -1 9 -2 6 -6 -1 -10 -3 9...
Find N(A) A = 1 -3 4 -1 9 -2 6 -6 -1 -10 -3 9 -6 -6 -3 3 -9 4 9 0
Find N(A) A= 1 -3 4 - 1 9 -2 6 -6 -1 -10 -39 -6...
Find N(A) A= 1 -3 4 - 1 9 -2 6 -6 -1 -10 -39 -6 -6 -3 3 -94 9 0 oa. 1 -2 -3 3 - 3 6 9 N(A) = 4 -6 -1 -6 -1 -10 -6 9 9 0 3 0 N(A) 1 0 2 0 N(A) = 2 1 0 -2 0 d. 3 -10 0 N(A) 2 0 0 N(A) -2 6 -3 4 N(A) = -1 -6 -1 -10 9
Find (A) and n(A) A = 1 - 3 4 -1 9 -2 6 -6 -1...
Find (A) and n(A) A = 1 - 3 4 -1 9 -2 6 -6 -1 -10 - 39 -6 -6 -3 3 -9 4 9 0
Find r(A) and n(A) A = 1 -34 -1 9 -2 6 -6 -1 -10 -3...
Find r(A) and n(A) A = 1 -34 -1 9 -2 6 -6 -1 -10 -3 9 -6 -6 -3 3 -9 4 9 0 O a.r(A) = 1 n(A) = 4 b.r(A) = 4 n(A) = 1 cr(A) = 5 n(A) = 0 d.r(A) = 2 n(A) = 3 Oer(A) = 0 n(A) = 5 Of.r(A) = 3 n(A) = 2
f-1(3) 3+ 2+ 2 4 6 & 10 D) 9 90 B) 3 A) 1.7
f-1(3) 3+ 2+ 2 4 6 & 10 D) 9 90 B) 3 A) 1.7
0 -3 -6 4 9 [10 2 0 -1] -1 -2 -1 3 1 0 1...
0 -3 -6 4 9 [10 2 0 -1] -1 -2 -1 3 1 0 1 -1 0 -2 12. Given A and B = -2 -3 0 3 -1 0 0 0 1 4 5 -9 0 0 0 0 0 (a) (4 points) Find a basis for the column space of A. ܗ ܬ ܚ ܝ with A row equivalent to B. (b) (4 points) Find a basis for the nullspace of A. (c) (2 points) nullity (A)=
Find a. b. c. d. e. f. Find C(A) 1 A = - 3 4 -1...
Find
a.
b.
c.
d.
e.
f.
Find C(A) 1 A = - 3 4 -1 9 -2 6 -6 -1 -10 -3 9 -6 -6 -3 3 -9 4 9 0 a. -1 -1 C(A) = b. O NO C(A) = -4 2 10 C(A) = -3 -4 d. -2 C(A) = -6 -6 -3 3 e. 4 9 1 -2 -6 -10 C(A) -3 -3 3 4 0 Of. 0 C(A) = O O 0 O O O...
Find a. b. c. d. e. f. Find N(A) 1 -3 4 -1 9 A =...
Find
a.
b.
c.
d.
e.
f.
Find N(A) 1 -3 4 -1 9 A = -2 6 -6 -1 -10 -3 9 -6 -6 -3 mo 3 -94 9 a. 1 -2 6 -3 N(A) = -6 -1 -10 Ob. 10 0 N(A) 3 2 0 3 -5 0 N(A) = 0 0 0 2 O d. 2 ܩ ܘ ܚ N(A) 1 0 0 0 2 e. 2. 3 3 -3 6 9 -9 N(A) = -6 -6...
Find C(A) 1 -3 4 -1 9 -26 -6 -1 -10 -3 9 -6 -6 -3 A = 3 -94 9 0 O a. 3 -1 6 - 1 C(A) -6 9 9 O b. -4 -9 2 6 C(A) 3 6 -4 0 8 C(A) = ON fono 0 O d. 4 9 -2 -6 C(A) = -10 -3 -3 -6 3 4 0 O C(A) = O o 0 Of. 1 4 *** 6 C(A) = -2 -3...
Find CA A= 1 -3 4 -1 9 -2 6 -6 -1 -10 -3 9 -6 -6 -3 -94 9 0 3 a. 0 CIA) = -- 4 9 1 -2 -3 C(A) = -10 -3 3 4 C. -4 9 10 CIA) 3 0 Od. O NO C(A) = осоо 0 0 e. 1 -2 -3 -6 CIA) = -6 3 4 Of 3 CIA) 9
Find N(A) A = 1 -3 4 -1 9 -2 6 -6 -1 -10 -3 9 -6 -6 -3 3 -9 4 9 0
Find N(A) A= 1 -3 4 - 1 9 -2 6 -6 -1 -10 -39 -6 -6 -3 3 -94 9 0 oa. 1 -2 -3 3 - 3 6 9 N(A) = 4 -6 -1 -6 -1 -10 -6 9 9 0 3 0 N(A) 1 0 2 0 N(A) = 2 1 0 -2 0 d. 3 -10 0 N(A) 2 0 0 N(A) -2 6 -3 4 N(A) = -1 -6 -1 -10 9
Find (A) and n(A) A = 1 - 3 4 -1 9 -2 6 -6 -1 -10 - 39 -6 -6 -3 3 -9 4 9 0
Find r(A) and n(A) A = 1 -34 -1 9 -2 6 -6 -1 -10 -3 9 -6 -6 -3 3 -9 4 9 0 O a.r(A) = 1 n(A) = 4 b.r(A) = 4 n(A) = 1 cr(A) = 5 n(A) = 0 d.r(A) = 2 n(A) = 3 Oer(A) = 0 n(A) = 5 Of.r(A) = 3 n(A) = 2
f-1(3) 3+ 2+ 2 4 6 & 10 D) 9 90 B) 3 A) 1.7
0 -3 -6 4 9 [10 2 0 -1] -1 -2 -1 3 1 0 1 -1 0 -2 12. Given A and B = -2 -3 0 3 -1 0 0 0 1 4 5 -9 0 0 0 0 0 (a) (4 points) Find a basis for the column space of A. ܗ ܬ ܚ ܝ with A row equivalent to B. (b) (4 points) Find a basis for the nullspace of A. (c) (2 points) nullity (A)=
Find
a.
b.
c.
d.
e.
f.
Find C(A) 1 A = - 3 4 -1 9 -2 6 -6 -1 -10 -3 9 -6 -6 -3 3 -9 4 9 0 a. -1 -1 C(A) = b. O NO C(A) = -4 2 10 C(A) = -3 -4 d. -2 C(A) = -6 -6 -3 3 e. 4 9 1 -2 -6 -10 C(A) -3 -3 3 4 0 Of. 0 C(A) = O O 0 O O O...
Find
a.
b.
c.
d.
e.
f.
Find N(A) 1 -3 4 -1 9 A = -2 6 -6 -1 -10 -3 9 -6 -6 -3 mo 3 -94 9 a. 1 -2 6 -3 N(A) = -6 -1 -10 Ob. 10 0 N(A) 3 2 0 3 -5 0 N(A) = 0 0 0 2 O d. 2 ܩ ܘ ܚ N(A) 1 0 0 0 2 e. 2. 3 3 -3 6 9 -9 N(A) = -6 -6...
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