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Choose the correct alternative: If Ann|An×n| = 3 and |adj A| = 243 then the value n is

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प्रश्न

Choose the correct alternative:

If `|"A"_("n" xx "n")|` = 3 and |adj A| = 243 then the value n is

पर्याय

  • 4

  • 5

  • 6

  • 1

MCQ
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उत्तर

5

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Rank of a Matrix
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Applications of Matrices and Determinants - Exercise 1.4 [पृष्ठ २२]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 1 Applications of Matrices and Determinants
Exercise 1.4 | Q 24 | पृष्ठ २२

संबंधित प्रश्‍न

Find the rank of the following matrices

`((5, 6),(7, 8))`


Find the rank of the following matrices

`((1, -1),(3, -6))`


Show that the following system of equations have unique solutions: x + y + z = 3, x + 2y + 3z = 4, x + 4y + 9z = 6 by rank method


The price of three commodities, X, Y and Z are and z respectively Mr. Anand purchases 6 units of Z and sells 2 units of X and 3 units of Y. Mr.Amar purchases a unit of Y and sells 3 units of X and 2 units of Z. Mr. Amit purchases a unit of X and sells 3 units of Y and a unit of Z. In the process they earn ₹ 5,000/-, ₹ 2,000/- and ₹ 5,500/- respectively. Find the prices per unit of three commodities by rank method


An amount of ₹ 5,000/- is to be deposited in three different bonds bearing 6%, 7% and 8% per year respectively. Total annual income is ₹ 358/-. If the income from the first two investments is ₹ 70/- more than the income from the third, then find the amount of investment in each bond by the rank method


Choose the correct alternative:

If A = `((1),(2),(3))` then the rank of AAT is


Choose the correct alternative:

The rank of the diagonal matrix `[(1, , , , ,),(, 2, , , ,),(, , -3, , ,),(, , , 0, ,),(, , , , 0,),(, ,  , , ,0)]`


Choose the correct alternative:

The system of linear equations x = y + z = 2, 2x + y – z = 3, 3x + 2y + k = 4 has unique solution, if k is not equal to


Find the rank of the matrix

A = `((4, 5, 2, 2),(3, 2, 1, 6),(4, 4, 8, 0))`


Let S be the set of all λ ∈ R for which the system of linear equations

2x – y + 2z = 2

x – 2y + λz = –4

x + λy + z = 4

has no solution. Then the set S ______.


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