Matrix Addition and Properties

The video tutorial explains the process of adding matrices, emphasizing that matrices can only be added if they are of the same order. It provides examples of matrices that can and cannot be added, demonstrating the importance of checking matrix order first. The tutorial then details the process of adding corresponding elements from matrices of the same order to form a new matrix. The final matrix retains the same order as the original matrices. The video concludes with a summary of the steps involved in matrix addition.

What is the basic requirement for two matrices to be added?

• They must have the same determinant.

• They must be square matrices.

• They must be of the same order.

• They must have the same number of elements.

If a matrix has 1 row and 2 columns, what is its order?

• 2 by 1

• 1 by 2

• 1 by 1

• 2 by 2

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CCSS.HSN.VM.C.8

Why can't a 1 by 2 matrix be added to a 2 by 1 matrix?

• Because they have different determinants.

• Because their orders are different.

• Because they are not square matrices.

• Because they have different numbers of elements.

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CCSS.HSN.VM.C.8

What should be the first step before adding two matrices?

• Check if they are square matrices.

• Check if they have the same order.

• Check if they have the same determinant.

• Check if they have the same number of elements.

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CCSS.HSN.VM.C.8

How do you add two matrices?

• By multiplying corresponding elements.

• By adding corresponding elements.

• By subtracting corresponding elements.

• By dividing corresponding elements.

What are corresponding elements in matrices?

• Elements that are in the same row.

• Elements that have the same value.

• Elements that are in the same column.

• Elements that are in the same position.

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CCSS.HSN.VM.C.8

What is the order of the resulting matrix after adding two matrices of order 2 by 2?

• 2 by 1

• 3 by 3

• 2 by 2

• 1 by 1

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CCSS.HSN.VM.C.8

What is the result of adding the corresponding elements 1 and 3?

• 4

• 5

• 3

• 2

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CCSS.6.NS.C.8

What is the result of adding the corresponding elements 4 and 2?

• 5

• 6

• 7

• 8

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CCSS.7.NS.A.1C

What is the result of adding the corresponding elements -6 and 4?

• -10

• -2

• 0

• 2

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CCSS.7.NS.A.1C