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Select the correct option from the given alternatives: Consider the matrices A = [46-13021-25], B = [2401-12], C = [312] out of the given matrix product ________ i) (AB)TCii) CTC(AB)T - Mathematics and Statistics

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Question

Select the correct option from the given alternatives:

Consider the matrices A = `[(4, 6, -1),(3, 0, 2),(1, -2, 5)]`, B = `[(2, 4),(0, 1),(-1, 2)]`, C = `[(3),(1),(2)]` out of the given matrix product ________

i) (AB)TC
ii) CTC(AB) 
iii) CTAB
iv) ATABBTC

Options

  • Exactly one is defined

  • Exactly two are defined

  • Exactly three are defined

  • all four are defined

MCQ
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Solution

Consider the matrices A = `[(4, 6, -1),(3, 0, 2),(1, -2, 5)]`, B = `[(2, 4),(0, 1),(-1, 2)]`, C = `[(3),(1),(2)]` out of the given matrix product Exactly three are defined.

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Chapter 4: Determinants and Matrices - Miscellaneous Exercise 4(B) [Page 100]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
Chapter 4 Determinants and Matrices
Miscellaneous Exercise 4(B) | Q I. (2) | Page 100
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