6. Let B be a 2 × 2 matrix and a a number such that 7B²-5B+al = 0. Find values of a such that B is invertible. When B is invertible, find the eigenvalues of B-¹. Justify your answer.
6. Let B be a 2 × 2 matrix and a a number such that 7B²-5B+al = 0. Find values of a such that B is invertible. When B is invertible, find the eigenvalues of B-¹. Justify your answer.
6. Let B be a 2 × 2 matrix and a a number such that 7B²-5B+al = 0. Find values of a such that B is invertible. When B is invertible, find the eigenvalues of B-¹. Justify your answer.
Linear algebra: please in details and 100% accurate solution needed
Transcribed Image Text:6.
Let B be a 2 x 2 matrix and a a number such that
7B2-5B+al = 0.
Find values of a such that B is invertible. When B is invertible, find the eigenvalues
of B-1. Justify your answer.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
