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 … WebIf e and f are both zero, there will be an infinite number of possible solutions. A = 0 means that ad = bc or a/c = b/d. Select n = c/a, which gives c = n*a, then you get these equation a/ (n*a) = b/d reduce and rearrange d = n*b The resulting equations become a*x + b*y = 0 c*x + d*y = n*a*x + n*d*y = 0
Find the values of k for which the matrix A is invertible. A
WebNov 6, 2024 · Find all values of K so A A T is symmetric My answer so far: QUESTION 1 d e t ( A) = 0 0 = ( 1) ( k − 2) ( k + 1) ( 3) 0 = ( k − 2) ( k + 1) ( 3) 0 = ( k − 2) ( 3 k + 3) 0 = 3 k 2 + 3 k − 6 k − 6 6 = 3 k ( k − 1) 6 / 3 k = k − 1 2 k = k − 1 k = − 1 QUESTION 2: I'm confused on how to even figure this question out, where exactly would I begin? 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! how to use lightscribe
linear algebra - Find all possible values of rank(A) as
WebAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators ... WebMath Algebra Find conditions on k that will make the matrix A 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. k 19 –12 A= 8 k 8 -4 5 -4 A is invertible: Always WebIf 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? organised print