Linear Algebra [CSIR (Council of Scientific & Industrial Research) Mathematical Sciences]: Questions 1 - 6 of 367
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Question 1
Question 2
Appeared in Year: 2011
Question MCQ▾
Let D be a non – zero Real matrix with which of the following implications is valid? (CSIR NET – JUNE)
Choices
Choice (4) | Response | |
---|---|---|
a. | implies rank | |
b. | implies rank | |
c. | rank (D) = 1 implies | |
d. | implies |
Question 3
Question MCQ▾
Let A be a matrix Then which of the following is correct? (Part B)
Choices
Choice (4) | Response | |
---|---|---|
a. | A is not diagnosable | |
b. | A is idempotent | |
c. | A is Nilpotent | |
d. | Minimal polynomial characteristic polynomial |
Question 4
Appeared in Year: 2013
Question MCQ▾
Let A be a invertible real matrix. Which of the following is not necessarily true? (December)
Choices
Choice (4) | Response | |
---|---|---|
a. | The rows of A form a basis of | |
b. | Null space of A contains only the 0 vector | |
c. | A has distinct eigen values | |
d. | Image of the linear transformation on |
Question 5
Appeared in Year: 2015
Question MCQ▾
Which of the following is a linear transformation from ?
Which of the following are correct? (June)
Choices
Choice (4) | Response | |
---|---|---|
a. | Only f | |
b. | Only g | |
c. | Only h | |
d. | All the transformations f, g and h |