Please Answer True or false for all questions Answer true or false 56, 60, 62 He
ID: 3403393 • Letter: P
Question
Please Answer True or false for all questions
Answer true or false 56, 60, 62
Here answer True or false 64,66,68
64:If two matrices of the same size have equal rank , than their reduced form must be identical
68. If the reduced form A* has a row of zeros than so does A
Here answer True or false 6,8,10
Answer true of false 12,14,16,18,20
2. If AD = BD , for nxn matrices A,B,D then A=B
4. If A is symmetric , than -A is skew - symmetric
10. If A and B are nxn invertible matrices , then A+B is invertible .
Answer True or False 12 14, 18.
Explanation / Answer
56) False. Can have 2 free variables if rank = 1
60) False. subsystem may have dependent solutions
62) True. n represents the columns
64) True. Since no of equations exceed no of variables may be inconsistent.
66) True. row equivalence is performed to find rank only to lowest form
68) False. After reducing only A has zero row. So not necessary that A should have
12) True but has some free variables.
14) True as rank represents no of non zero rows.
16) False max rank can only be 4
18) True since if c = 5 then rank = 1
20)False. This can be true only for square system.
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12) False.
14) False
18) True as matrix cannot be singular and hence has inverse.