Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
If B = [[1, 0, 2], [0, 1, 3], [0, 0, 1]], what is the rank of matrix B?
If B = [[1, 0, 2], [0, 1, 3], [0, 0, 1]], what is the rank of matrix B?
Expand All
Collapse All
Practice Questions
1 question
Q1
If B = [[1, 0, 2], [0, 1, 3], [0, 0, 1]], what is the rank of matrix B?
1
2
3
0
Show Solution
Copy
The rank of matrix B is the number of non-zero rows in its row echelon form, which is 3.
Questions & Step-by-step Solutions
1 item
Q
Q: If B = [[1, 0, 2], [0, 1, 3], [0, 0, 1]], what is the rank of matrix B?
Solution:
The rank of matrix B is the number of non-zero rows in its row echelon form, which is 3.
Steps: 8
Show Steps
Step 1: Write down the matrix B: [[1, 0, 2], [0, 1, 3], [0, 0, 1]].
Step 2: Identify the rows of the matrix. There are 3 rows: [1, 0, 2], [0, 1, 3], and [0, 0, 1].
Step 3: Check each row to see if it is a non-zero row. A non-zero row is a row that has at least one number that is not zero.
Step 4: The first row [1, 0, 2] is non-zero because it has '1' and '2'.
Step 5: The second row [0, 1, 3] is also non-zero because it has '1' and '3'.
Step 6: The third row [0, 0, 1] is non-zero because it has '1'.
Step 7: Count the number of non-zero rows. There are 3 non-zero rows.
Step 8: The rank of matrix B is equal to the number of non-zero rows, which is 3.
Related Questions
I
If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the wi
Question: If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the width? (2020..
S
Solve for x: 3x - 7 = 2x + 5. (2021)
Question: Solve for x: 3x - 7 = 2x + 5. (2021)Options: 1211109Correct Answer: 12Exam Year: 2021Solut..
I
If the ratio of the sides of a triangle is 3:4:5, what type of triangle is it? (
Question: If the ratio of the sides of a triangle is 3:4:5, what type of triangle is it? (2019)Optio..
I
If the ratio of the ages of A and B is 3:4 and the sum of their ages is 28 years
Question: If the ratio of the ages of A and B is 3:4 and the sum of their ages is 28 years, what is ..
W
What is the value of the expression 5! / (3! * 2!)? (2020)
Question: What is the value of the expression 5! / (3! * 2!)? (2020)Options: 10152025Correct Answer:..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
