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 C = [[1, 2], [3, 5]], find C^2.
If C = [[1, 2], [3, 5]], find C^2.
Expand All
Collapse All
Practice Questions
1 question
Q1
If C = [[1, 2], [3, 5]], find C^2.
[[7, 14], [21, 35]]
[[11, 28], [15, 35]]
[[11, 16], [18, 35]]
[[11, 16], [15, 25]]
Show Solution
Copy
C^2 = C * C = [[1*1 + 2*3, 1*2 + 2*5], [3*1 + 5*3, 3*2 + 5*5]] = [[11, 16], [18, 35]].
Questions & Step-by-step Solutions
1 item
Q
Q: If C = [[1, 2], [3, 5]], find C^2.
Solution:
C^2 = C * C = [[1*1 + 2*3, 1*2 + 2*5], [3*1 + 5*3, 3*2 + 5*5]] = [[11, 16], [18, 35]].
Steps: 8
Show Steps
Step 1: Understand that C^2 means we need to multiply the matrix C by itself.
Step 2: Write down the matrix C: C = [[1, 2], [3, 5]].
Step 3: Set up the multiplication of C by C: C * C = [[1, 2], [3, 5]] * [[1, 2], [3, 5]].
Step 4: Calculate the first element of the resulting matrix: (1*1 + 2*3) = 1 + 6 = 7.
Step 5: Calculate the second element of the first row: (1*2 + 2*5) = 2 + 10 = 12.
Step 6: Calculate the first element of the second row: (3*1 + 5*3) = 3 + 15 = 18.
Step 7: Calculate the second element of the second row: (3*2 + 5*5) = 6 + 25 = 31.
Step 8: Combine all the calculated elements into the resulting matrix: C^2 = [[7, 12], [18, 31]].
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
✕
↑
