92,001 views
41 votes
41 votes
Please help!
Matrix Pre-calc

Please help! Matrix Pre-calc-example-1
User Luca Tettamanti
by
2.9k points

2 Answers

13 votes
13 votes

Answer:

M+N is defined

All others not defined

Explanation:

Two matrices can be added or subtracted if and only if they have the same dimensions i.e. they must have the exact same number of rows and number of columns

Only M and N with dimensions (4 x 2) each can be added or subtracted.

(4 x 2 ) means 4 rows and 2 columns

So the only defined operation is
M + N

All the others are not defined

User Pompey Magnus
by
2.4k points
10 votes
10 votes

Answer:


\textsf{De\:\!fined}: \quad \boxed{M + N}


\textsf{Not\:de\:\!fined}: \quad \boxed{N - Q} \quad \boxed{Q + L} \quad \boxed{M - P}

Explanation:

Generally, a matrix is referred to as
n* m where n is the number of rows and m is the number of columns.

Therefore:

  • L is a 2 x 2 matrix
  • M is a 4 x 2 matrix
  • N is a 4 x 2 matrix
  • P is a 2 x 2 matrix
  • Q is a 2 x 1 matrix

Matrices can be added or subtracted only when they are the same size.


\boxed{N - Q}

Matrices N and Q are different sizes. Therefore, the operation is not defined.


\boxed{M + N}

Matrices M and N are the same size. Therefore, the operation is defined.


\boxed{Q + L}

Matrices Q and L are different sizes. Therefore, the operation is not defined.


\boxed{M - P}

Matrices M and P are different sizes. Therefore, the operation is not defined.

User TheB
by
3.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.