Page 1
Question 1:
Prove that the determinant is independent of ?.
Answer
Hence, ? is independent of ?.
Question 2:
Without expanding the determinant, prove that
Answer
Page 2
Question 1:
Prove that the determinant is independent of ?.
Answer
Hence, ? is independent of ?.
Question 2:
Without expanding the determinant, prove that
Answer
Hence, the given result is proved.
Question 3:
Evaluate
Answer
Expanding along C3, we have:
Page 3
Question 1:
Prove that the determinant is independent of ?.
Answer
Hence, ? is independent of ?.
Question 2:
Without expanding the determinant, prove that
Answer
Hence, the given result is proved.
Question 3:
Evaluate
Answer
Expanding along C3, we have:
Question 4:
If a, b and c are real numbers, and ,
Show that either a + b + c = 0 or a = b = c.
Answer
Expanding along R1, we have:
Page 4
Question 1:
Prove that the determinant is independent of ?.
Answer
Hence, ? is independent of ?.
Question 2:
Without expanding the determinant, prove that
Answer
Hence, the given result is proved.
Question 3:
Evaluate
Answer
Expanding along C3, we have:
Question 4:
If a, b and c are real numbers, and ,
Show that either a + b + c = 0 or a = b = c.
Answer
Expanding along R1, we have:
Hence, if ? = 0, then either a + b + c = 0 or a = b = c.
Question 5:
Solve the equations
Answer
Page 5
Question 1:
Prove that the determinant is independent of ?.
Answer
Hence, ? is independent of ?.
Question 2:
Without expanding the determinant, prove that
Answer
Hence, the given result is proved.
Question 3:
Evaluate
Answer
Expanding along C3, we have:
Question 4:
If a, b and c are real numbers, and ,
Show that either a + b + c = 0 or a = b = c.
Answer
Expanding along R1, we have:
Hence, if ? = 0, then either a + b + c = 0 or a = b = c.
Question 5:
Solve the equations
Answer
Question 6:
Prove that
Answer
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