Write the functions that will calculate the trace and the determinant of the matrices. The trace of the matric is defined as the sum of the diagonal elements, i.e., Tr = ₁a. i=1 The standard formula to find the determinant of a 3 x 3 matrix is to a break it down into smaller 2 x 2 determinants Mij, known as minors, det (A) =(-1)+ aij Mij. j=1 n The minor Mij is defined to be the determinant of the (n-1) x (n-1) matrix that results from A by removing the i-th row and the j-th column. The minors would be determinants of the 2 × 2 matrices, which could be easliy calculated from the formula det a b C = ad - bc.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Write the functions that will calculate the trace and the determinant of the matrices. The trace
of the matric is defined as the sum of the diagonal elements, i.e., Tr = ₁ aii.
The standard formula to find the determinant of a 3 x 3 matrix is to a break it down into smaller
2 x 2 determinants Mij, known as minors,
det
The minor Mij is defined to be the determinant of the (n-1) x (n-1) matrix that results from
A by removing the i-th row and the j-th column. The minors would be determinants of the 2 × 2
matrices, which could be easliy calculated from the formula
n
(A)=(-1)+c
j=1
b
deta d
C
¡Mij.
aij
= ad bc.
Transcribed Image Text:Write the functions that will calculate the trace and the determinant of the matrices. The trace of the matric is defined as the sum of the diagonal elements, i.e., Tr = ₁ aii. The standard formula to find the determinant of a 3 x 3 matrix is to a break it down into smaller 2 x 2 determinants Mij, known as minors, det The minor Mij is defined to be the determinant of the (n-1) x (n-1) matrix that results from A by removing the i-th row and the j-th column. The minors would be determinants of the 2 × 2 matrices, which could be easliy calculated from the formula n (A)=(-1)+c j=1 b deta d C ¡Mij. aij = ad bc.
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