Question

The basis {(1, 0, 0), (0, l, 0), (0, 0, l)} of the vector space R3(R) is known as : .......

(a) Quotient basis (b) Normal basis

(c) Standard basis (d) Non€ of these​

Answer 1

Answer:

a) quotient basis

Step-by-step explanation:

I hope this would help u

Answer 2

Answer:

The correct answer is Option B

Step-by-step explanation:

• a non zero vector (p, q, r) in R3, where p, q, and r are each ≠ 0, can be expressed as a linear combination of the basis vectors:
• a = (1,0,0), b = (0,1,0) and c = (0,0,1). pa + qb + rc = (p, q, r).
• Another way to show is to prove that the set (a, b, c) is linearly independent. ==> the 3x 3 determinant formed is non-zero. The determinant = 1.
• The basis {(1, 0, 0), (0, l, 0), (0, 0, l)} of the vector space R3(R) is known as : Normal basis