Exploring Scalar Multiplication of Matrices

The video tutorial explains scalar multiplication, where each element of a matrix is multiplied by a constant. It demonstrates this concept with examples, showing how to multiply a matrix by a number and how to find the negative of a matrix using scalar multiplication. The tutorial emphasizes the importance of understanding scalar multiplication in mathematics.

Is it mathematically possible to multiply a matrix by a number?

• Yes, it is possible.

• Only for square matrices.

• Only for matrices with equal rows and columns.

• No, it is not possible.

What happens to each element of a matrix when it is multiplied by a scalar?

• Each element remains the same.

• Each element is added to the scalar.

• Each element is divided by the scalar.

• Each element is multiplied by the scalar.

What will be the order of the resulting matrix if the original matrix is of order 2x2?

• 3x3

• 1x1

• 4x4

• 2x2

If the original matrix element is 4, what will be the resulting element when multiplied by 3?

• 7

• 4

• 12

• 1

What is the term used to describe multiplying a matrix by a constant?

• Scalar multiplication

• Matrix division

• Matrix addition

• Matrix subtraction

How can we find the negative of a given matrix Z?

• By subtracting 1 from each element

• By adding 1 to each element

• By multiplying each element by -1

• By dividing each element by -1

What is the resulting element when 1 is multiplied by -1?

• 1

• -1

• 2

• 0

What is the resulting element when -5 is multiplied by -1?

• -5

• 5

• 0

• 1

What is the resulting element when 2 is multiplied by -1?

• -2

• 2

• 0

• 1

What is the resulting element when 3 is multiplied by -1?

• 1

• 0

• -3

• 3