Let us consider a 3×3 matrix A with Eigen values of λ1, λ2, λ3 and the Eigen values of A-1 are?a)λ1, λ2, λ3b)1 / λ1, 1 / λ2, 1 / λ3c)-λ1, -λ2, -λ3d)λ1, 0, 0Correct answer is option 'B'. Can you explain this answer?

Question

Let us consider a 3&times;3 matrix A with Eigen values of &lambda;1, &lambda;2, &lambda;3 and the Eigen values of A-1 are?a)&lambda;1, &lambda;2, &lambda;3b)1 / &lambda;1, 1 / &lambda;2, 1 / &lambda;3c)-&lambda;1, -&lambda;2, -&lambda;3d)&lambda;1, 0, 0Correct answer is option 'B'. Can you explain this answer?

Answer

X3 matrix A. The three rows of the matrix can represent three different variables or three different equations. The three columns of the matrix can represent three different data points or three different coefficients.

For example, let's say we have the following matrix A:

A = [[1, 2, 3],
[4, 5, 6],
[7, 8, 9]]

In this case, the three rows represent three different variables or equations, and the three columns represent three different data points or coefficients.

We can perform various operations on this matrix, such as addition, subtraction, multiplication, and solving systems of equations. These operations can help us analyze and manipulate the data or variables represented by the matrix.

Overall, matrices are a useful mathematical tool for representing and manipulating data or variables, and they have various applications in fields such as linear algebra, statistics, and computer science.

Similar Mathematics Doubts

Let A be a 3 x 3 matrix with real entries such that det(

Let A and B are two (2 x 2) real matrix, satisfy AB=B-1 and B has imaginary eigen values as 1 + i, 1 - i. Then value of K for which KA - 2 B-1+ I= 0 Correct answer is '2'. Can you explain this answer?

Let us consider a square matrix A of order n with Eigen values of a, b, c then the Eigen values of the matrix AT could be. Correct answer is 'a,b,c'. Can you explain this answer?

If 3, - 2 are the eigen values of a non-singular matrix A and |A| = 4, then the sum of the eigen values o f adj(

Suppose (λ1X) be an eigen pair consisting of an eigenvalue and its correx eigenvector for a real matrix |λI - A| = λ3 + 3λ2 + 4λ + 3. Let I be a (n x n) unitmatrix, which one of the following statement is not correct?

Top Courses for Mathematics

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams