Detenninants of Sums Give an example of square matrices A and B for which |A+B|≠|A|+|B|

Kye

Kye

Answered

2021-02-03

Detenninants of Sums Give an example of square matrices A and B for which |A+B||A|+|B|

Answer & Explanation

Ezra Herbert

Ezra Herbert

Expert

2021-02-04Added 99 answers

Step 1
Let matrix A and B as:
A=[2351]
B=[1201] Step 2 The summation of matrices:
A+B=[2351]+[1201]
A+B=[3552]
Step 3
Determinant of summation of matrices:
|A+B|=3(2)5(5)=625=19
Step 4
Determinant of matrix A and matrix B
|A|=[2351]=2(1)3(5)=215=13
|B|=[1201]=1(1)2(0)=10=1

Step 5
Hence, it is clear that:
|A+B||A|+|B|

Jeffrey Jordon

Jeffrey Jordon

Expert

2022-01-22Added 2575 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?