Scalar Multiplication of Matrices

Scalar Multiplication of Matrices

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Flashcard

Mathematics

11th Grade

Hard

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14 questions

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1.

FLASHCARD QUESTION

Front

What is scalar multiplication of a matrix?

Back

Scalar multiplication of a matrix involves multiplying each element of the matrix by a scalar (a constant number).

2.

FLASHCARD QUESTION

Front

If A is a matrix and k is a scalar, what is the result of kA?

Back

The result of kA is a new matrix where each element of matrix A is multiplied by the scalar k.

3.

FLASHCARD QUESTION

Front

How does scalar multiplication affect the size of a matrix?

Back

Scalar multiplication does not change the size (dimensions) of the matrix; it only changes the values of its elements.

4.

FLASHCARD QUESTION

Front

What is the effect of multiplying a matrix by zero?

Back

Multiplying any matrix by zero results in a zero matrix of the same dimensions.

5.

FLASHCARD QUESTION

Front

If A = [[1, 2], [3, 4]] and k = 3, what is kA?

Back

kA = [[3*1, 3*2], [3*3, 3*4]] = [[3, 6], [9, 12]].

6.

FLASHCARD QUESTION

Front

What happens when a matrix is multiplied by -1?

Back

Multiplying a matrix by -1 changes the sign of each element in the matrix.

7.

FLASHCARD QUESTION

Front

Can scalar multiplication be applied to non-square matrices?

Back

Yes, scalar multiplication can be applied to any matrix, regardless of whether it is square or non-square.

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