Matrices and Determinants [BITSAT (Birla Institute of Technology & Science Admission Test) Mathematics]: Questions 1 - 8 of 26
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Question 1
Question MCQ▾
If is symmetric and then is –
Choices
Choice (4) | Response | |
---|---|---|
a. | Diagonal | |
b. | Skew – symmetric | |
c. | Symmetric | |
d. | Both a. and c. are correct |
Question 2
Question MCQ▾
A square matrix is called a diagonal matrix if for,
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 3
Question MCQ▾
If inverse of a diagonal matrix is –
Choices
Choice (4) | Response | |
---|---|---|
a. | Skew – symmetric | |
b. | Symmetric | |
c. | Diagonal | |
d. | Question does not provide sufficient data or is vague |
Question 4
Question 5
Question MCQ▾
If for a matrix where is the identity matrix , then A equals
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 6
Question MCQ▾
The system of equation of equations in unknowns has a unique solution if
Choices
Choice (4) | Response | |
---|---|---|
a. | Det A ≠ 0 | |
b. | Det A = 0, AdjAB = 0 | |
c. | Det A = 0, AdjAB ≠ 0 | |
d. | Det A ≠ 0, AdjAB = 0 |
Question 7
Question MCQ▾
The inverse of a symmetric matrix is –
Choices
Choice (4) | Response | |
---|---|---|
a. | Diagonal matrix | |
b. | Symmetric | |
c. | Skew – symmetric | |
d. | None of the above |
Question 8
Question MCQ▾
If each element of a determinant of order with value is multiplied by , then the new determinant is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | None of the above |