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Given Matrix a = (4sin30^@,Cos0^@), (Cos0^@,4sin30^@) and B = (4), (5) If Ax = B. Write the Order of Matrix X. - Mathematics

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Question

Given matrix A = `[(4sin30^@,cos0^@), (cos0^@,4sin30^@)] and B = [(4), (5)]` If AX = B.
Write the order of matrix X.

Sum

Solution

Given A = `[(4sin30^@,cos0^@), (cos0^@,4sin30^@)] and B = [(4), (5)]`

Let the order of matrix X = m × n

Order of matrix A = 2 × 2

Order of matrix B = 2 × 1

Now, AX = B

∴ m = 2 and n = 1

Thus, order of matrix X = m × n = 2 × 1

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Chapter 9: Matrices - Exercise 9 (D) [Page 132]

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Selina Mathematics [English] Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (D) | Q 23.1 | Page 132

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