Math Assignment Invertible Matrix Theorem

Added on - 03 May 2020

  • 5


  • 413


  • 84


  • 0


Trusted by +2 million users,
1000+ happy students everyday
Showing pages 1 to 2 of 5 pages
Running head: THE INVERTIBLE MATRIX THEOREM1The Invertible Matrix TheoremNameInstitution
THE INVERTIBLE MATRIX THEOREM2The Invertible Matrix TheoremLet then A be a3×3¿where n=3.A=[1304111073]We consider four statements from the invertible Matrix Theorem as shown.The statements extracted from the Invertible Matrix Theorem include: “Matrix A has n pivotpositions,the columns of the matrix form a linearly independent set,zero is not an eigenvalue ofmatrix A, and the determinant of A,det(A)0.Part a“Matrix A has n pivot positions”The row echelon form of the Matrix A can be computed as:R1: “add 4 times the 1strow to the 2ndrow” to obtain[130011273]R2: “add 2 times the 1strow to the 3rdrow” to obtain[1300110133]R3: “multiply the 2nd row by -1” to obtain[1300110133]R4: add -13 times the 2nd row to 3rd row to obtain[1300110016]
You’re reading a preview
Preview Documents

To View Complete Document

Click the button to download
Subscribe to our plans

Download This Document