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
›
What is the determinant of G = [[5, 6], [7, 8]]? (2017)
What is the determinant of G = [[5, 6], [7, 8]]? (2017)
Expand All
Collapse All
Practice Questions
1 question
Q1
What is the determinant of G = [[5, 6], [7, 8]]? (2017)
-2
2
6
8
Show Solution
Copy
Det(G) = (5*8) - (6*7) = 40 - 42 = -2.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the determinant of G = [[5, 6], [7, 8]]? (2017)
Solution:
Det(G) = (5*8) - (6*7) = 40 - 42 = -2.
Steps: 8
Show Steps
Step 1: Identify the elements of the matrix G. The matrix G is [[5, 6], [7, 8]].
Step 2: Label the elements of the matrix. Let a = 5, b = 6, c = 7, d = 8.
Step 3: Use the formula for the determinant of a 2x2 matrix, which is Det(G) = (a * d) - (b * c).
Step 4: Substitute the values into the formula: Det(G) = (5 * 8) - (6 * 7).
Step 5: Calculate the first part: 5 * 8 = 40.
Step 6: Calculate the second part: 6 * 7 = 42.
Step 7: Subtract the second part from the first part: 40 - 42 = -2.
Step 8: Conclude that the determinant of G is -2.
Related Questions
W
What is the determinant of the matrix G = [[2, 4], [1, 3]]? (2021)
Question: What is the determinant of the matrix G = [[2, 4], [1, 3]]? (2021)Options: 2468Correct Ans..
I
If E = [[a, b], [c, d]], what is the expression for det(E)? (2023)
Question: If E = [[a, b], [c, d]], what is the expression for det(E)? (2023)Options: ad - bcab + cda..
F
Find the value of 5! (5 factorial). (2019)
Question: Find the value of 5! (5 factorial). (2019)Options: 12010015090Correct Answer: 120Solution:..
I
If I = [[1, 0, 2], [0, 1, 3], [1, 0, 4]], find det(I). (2021)
Question: If I = [[1, 0, 2], [0, 1, 3], [1, 0, 4]], find det(I). (2021)Options: 1234Correct Answer: ..
W
What is the value of (3 + 5) × (2 - 1)? (2020)
Question: What is the value of (3 + 5) × (2 - 1)? (2020)Options: 816106Correct Answer: 8Solution: (3..
‹
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
✕
↑
