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Q4 of 124 Page 201

If and verify that (P + Q)’ = (P’ + Q’).

Given and

To Prove: (P + Q)’ = P’ + Q’


Proof: Let us consider R = P + Q,




LHS = R (P + Q)’



To find RHS, we will first find the transpose of matrix P and Q


And


RHS = P’ + Q’




LHS = RHS


Hence proved.


More from this chapter

All 124 →
2

If verify that (2A)’ = 2A’.

3

If and verify that (A + B)’ = (A’ + B’).

5

If show that (A + A’) is symmetric.

6

If show that (A + A’) is skew-symmetric.

Questions · 124
5. Matrices
1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 A 1 B 1 C 1 D 1 E 2 A 2 B 3 A 3 B 3 C 4 5 16 A 6 7 A 7 B 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 1 2 3 4 5 6 7 8 9 10 11 12 13 A 13 B 13 13 D 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
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