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Evaluate A + 3B if possible. HELP ASAP!

Evaluate A + 3B if possible. HELP ASAP!-example-1

2 Answers

3 votes

Answer: Not possible

Explanation:

Matrix A is a 3 × 2 matrix.

Matrix B is a 2 × 3 matrix.

The scalar product 3B is also a 2 × 3 matrix.

The dimensions of A and 3B are not the same. Therefore, the matrices cannot be added

User Ayyash
by
8.3k points
6 votes

Answer:

Not possible.

Explanation:

Addition of Matrix A and Matrix B is possible only if the order of matrix A is same as the order of matrix B.

Order of a matrix with
m rows and
n columns is
m* n.

Here, matrix A is
\left[\begin{array}{ccc}2&-4\\-4&10\\0&-8\end{array}\right]

Matrix B is
\left[\begin{array}{ccc}0&-4&6\\2&-10&4\end{array}\right].

Multiplying a matrix by a constant doesn't change its order.

So, order of matrix A is
3* 2 as it has 3 rows and 2 columns.

The order of matrix 3B is
2* 3 as it has 2 rows and 3 columns.

Therefore, addition is not possible as the order is different.

User Challet
by
7.5k points

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