Find all values of k so that is invertible
WebFind all values of k for which A is invertible. k k 0A = k^2 2 k 0 k kNote: A is invertible if determinant of A does not equal 0 This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer WebAug 1, 2024 · Almost all square matrices are invertible. It is very special, i.e. singular, for a square matrix to be non-invertible. As you say, $\det = 2k^2-k^3-k^4$. This factorises to …
Find all values of k so that is invertible
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WebTour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site WebTo enter your answer, first select 'always', 'never', or whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas. Invertible: When k = ??? Always INever Question 4 When k Given the detWhen k he following This problem has been solved!
WebAs you say, det = 2 k 2 − k 3 − k 4. This factorises to give k 2 ( 2 + k) ( 1 − k). Your matrix is invertible for all values of k except k = 0, k = − 2 or k = 1. The matrix is invertible for all of the other values of k. There are three isolated values that make the matrix non-invertible. For any topic related to matrices. This includes: systems of linear equations, … WebAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators ...
WebFeb 3, 2015 · Now a reasonable step would be to divide the last row by ( k − 1). But this is only possible if k − 1 ≠ 0. So you can: Solve the case k = 1 separately. For k ≠ 1 divide the last row by ( k − 1) which leads you to a simpler matrix - you should try whether you are able to continue from there. [ 1 1 k 1 k 1 1 1 0 1 − 1 0] Share Cite Follow WebFind the values of k for which the matrix A is invertible. A = [k - 3 -2, -2 k - 2] Confirm the identity without evaluating the determinants directly. Determinant 1: a_1 (b_1 + ta_1) (c_1+rb_1+sa_1) a_2 (b_2 + ta_2) (c_2+rb_2+sa_2) a_3 (b_3 + ta_3) (c_3+rb_3+sa_3) Determinant 2: a_1 b_1 c_1 a_2 b_2 c_2 a_3 b_3 c_3 Math Algebra Linear Algebra
WebFind all values of k so that [k+492k+1]−I2 is invertible. To enter your answer, first select 'always', 'never', or whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas. Invertible: Always This …
WebFind all values of k so that [ k +1 3 2 k] −I 2 is invertible. To enter your answer, first select 'always', 'never', or whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas. Previous question Next question This problem has been solved! head of the fibula boneWebthumb_up 100%. Transcribed Image Text: Find all values of k so that k 2 3 k+1 is invertible. -1₂ To enter your answer, first select 'always', 'never', or whether k should be … head of the fibula painWebA square matrix A is invertible if and only if det A #0. Use the theorem above to find all values of k for which A is invertible. (Enter your answers as a comma-separated list.) k -K 7 A = 0 k + 1 k -24 k-1 1 ku A square matrix A is invertible if and only if det A +0. Use the theorem above to find all values of k for which A is invertible. head of the financial ombudsmanWebIf the Kernel of a Matrix A is Trivial, then ATA is Invertible Let A be an m × n real matrix. Then the kernel of A is defined as ker(A) = {x ∈ Rn ∣ Ax = 0}. The kernel is also called the null space of A. Suppose that A is an m × n real matrix such that ker(A) = 0. Prove that ATA is […] Is an Eigenvector of a Matrix an Eigenvector of its Inverse? gold rush winters fortune on discoveryhead of the federal reserve boardWebI've been given this question in class, with the 3x3 matrix: $$\begin{bmatrix} 2& 1& 0\\ 1 & 2 & 1\\ 0 & -3 & k\end{bmatrix}.$$ My job here is to find the Stack Exchange Network Stack Exchange network consists of 181 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their ... head of the fish 2022WebJul 13, 2024 · Viewed 2k times. 4. Find values of x so that the matrix is invertible. A = ( x 0 x x 2 1 2 x 0 2 x) I know that a matrix is invertible if determinant is not 0, but I don't know how to find the x values. I feel is a tricky question and this matrix will not be invertible no matter which value x takes, but I don't know how to prove that either. head of the family full movie