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Let a Be a Matrix of Order 3 × 4. If R1 Denotes the First Row of a and C2 Denotes Its Second Column, Then Determine the Orders of Matrices R1 and C2 - Mathematics

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प्रश्न

Let A be a matrix of order 3 × 4. If R1 denotes the first row of A and C2 denotes its second column, then determine the orders of matrices R1 and C2

योग

उत्तर

A is a matrix of order 3 × 4

⇒ A has 3 rows and 4 columns

A = `[("a"_11,"a"_12,"a"_13,"a"_14),("a"_21,"a"_22,"a"_23,"a"_24),("a"_31,"a"_32,"a"_33,"a"_34)]`

Now, Row 1 i.e. R1 = `[("a"_11,"a"_12,"a"_13,"a"_14)]`, it has 4 columns

So, order of R1 is 1 × 4

Column 2 i.e. C2 = `[("a"_12),("a"_22),("a"_32)]`, it has 1 column and 3 rows

So, order of C2 is 3 × 1.

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अध्याय 5: Algebra of Matrices - Exercise 5.1 [पृष्ठ ६]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 5 Algebra of Matrices
Exercise 5.1 | Q 3 | पृष्ठ ६

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