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In this lesson, we will learn how to carry out scalar multiplication of matrices.

Q1:

Given the matrix what is ?

Q2:

Given that β π΄ = ( β 1 , β 8 ) , find 3 β π΄ .

Q3:

Using the properties of determinants, find the value of

Q4:

Find numbers , , and so that .

Q5:

Given that find the value of π₯ .

Q6:

Let π be a 2 Γ 3 matrix whose entries are all zero. If π΄ is any 2 Γ 3 matrix, which of following is equivalent to 5 π΄ β 3 π ?

Q7:

Let and be the identity matrix. Find , , and their product , and then use this to express as a combination of and .

Q8:

Fill in the blank. Columns of an π Γ π matrix π΄ are an orthonormal basis for β π , if and only if π΄ is a matrix.

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