Math Problem Statement

Given the following matrices

A =

 

5 2 2 5 4 5

2

5

2

5

2

10

5 2 8 5 10 2

 

, B = 

3

5

8

, C =  2 4 2 1 3 4 , D =  1 2 *−*1 

(a) B + 2(C T DT )

0 8

0

(b) 20A + BDC

 

31 2 31 2 *−*4

9

2

9

2

*−*16

*−*12 *−*52 28

  

 

(c) det(A)

4

5

(d) (BD) *−*1

DNE

Solution

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Math Problem Analysis

Mathematical Concepts

Matrix Addition
Matrix Multiplication
Matrix Determinant
Matrix Inverse
Matrix Transpose

Formulas

Matrix addition: A + B
Matrix multiplication: AB
Determinant of a matrix: det(A)
Inverse of a matrix: A^-1
Transpose of a matrix: A^T

Theorems

Determinant properties
Matrix inverse properties
Matrix multiplication properties
Matrix transpose properties

Suitable Grade Level

Undergraduate Mathematics or Advanced High School