Matrices and Determinants-Types of Matrices [JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics]: Questions 1 - 7 of 28
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Question 1
Question MCQ▾
Suppose are real numbers, with . If are in then
Choices
Choice (4) | Response | |
---|---|---|
a. | is singular (where ) | |
b. | The system of equation , has infinite number of solutions | |
c. | is non singular | |
d. | Question does not provide sufficient data or is vague |
Question 2
Question MCQ▾
In which of the following type of matrix inverse does not exist always?
Choices
Choice (4) | Response | |
---|---|---|
a. | Idempotent | |
b. | Orthogonal | |
c. | Involuntary | |
d. | Question does not provide sufficient data or is vague |
Question 3
Question MCQ▾
If P is an orthogonal matrix and A is a periodic matrix with period 4 and , then P will be equal to
Choices
Choice (4) | Response | |
---|---|---|
a. | A | |
b. | ||
c. | ||
d. |
Question 4
Question MCQ▾
Which of the following statements is correct?
Choices
Choice (4) | Response | |
---|---|---|
a. | is symmetric if A is symmetric | |
b. | is skew symmetric if A is symmetric | |
c. | is symmetric if A is skew symmetric | |
d. | All of the above |
Question 5
Question 6
Question MCQ▾
If A and B are symmetric and commute, then which of the following are symmetric?
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | None of the above |
Question 7
Question MCQ▾
If A is a square matrix of order such that and I is a unit matrix of order , then is equal to
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |