If D = [[4, 2], [1, 3]], find the inverse of D. (2022)
Practice Questions
1 question
Q1
If D = [[4, 2], [1, 3]], find the inverse of D. (2022)
[[3, -2], [-1, 4]]
[[3, 2], [-1, 4]]
[[3, -2], [1, 4]]
[[4, -2], [-1, 3]]
The inverse of D is given by (1/det(D)) * adj(D). Here, det(D) = (4*3) - (2*1) = 10, and adj(D) = [[3, -2], [-1, 4]]. Thus, D^(-1) = (1/10) * [[3, -2], [-1, 4]].
Questions & Step-by-step Solutions
1 item
Q
Q: If D = [[4, 2], [1, 3]], find the inverse of D. (2022)
Solution: The inverse of D is given by (1/det(D)) * adj(D). Here, det(D) = (4*3) - (2*1) = 10, and adj(D) = [[3, -2], [-1, 4]]. Thus, D^(-1) = (1/10) * [[3, -2], [-1, 4]].
