If a matrix has 18 elements, what are the possible orders it can have? What if it has 6 elements? - Mathematics

If a matrix has 18 elements, what are the possible orders it can have? What if it has 6 elements?

बेरीज

The possible orders of the matrix having 18 elements are

1 × 18
2 × 9
3 × 6

18 × 1
9 × 2
6 × 3

The possible orders of the matrix having 6 elements are

1 × 6
2 × 3

6 × 1
3 × 2

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पाठ 3: Algebra - Exercise 3.16 [पृष्ठ १४४]

पाठ 3 Algebra
Exercise 3.16 | Q 2 | पृष्ठ १४४

In the matrix A = `[(8, 9, 4, 3),(- 1, sqrt(7), sqrt(3)/2, 5),(1, 4, 3, 0),(6, 8, -11, 1)]`, write The number of elements

Given that A = `[(1, 3),(5, -1)]`, B = `[(1, -1, 2),(3, 5, 2)]`, C = `[(1, 3, 2),(-4, 1, 3)]` verify that A(B + C) = AB + AC

Find the values of p, q, r, and s if

`[("p"^2 - 1, 0, - 31 - "q"^3),(7, "r" + 1, 9),(- 2, 8, "s" - 1)] = [(1, 0, -4),(7, 3/2, 9),(-2, 8, -pi)]`

If A = `[(1, 0, 2), (0, 2, 1), (2, 0, 3)]` and A³ – 6A² + 7A + kI = 0, find the value of k

If A^T = `[(4, 5),(-1, 0),(2, 3)]` and B = `[(2, -1, 1),(7, 5, -2)]`, veriy the following

(A – B)^T = A^T – B^T

If A is a 3 × 4 matrix and B is a matrix such that both A^TB and BA^T are defined, what is the order of the matrix B?

Construct the matrix A = [a_ij]_3×3, where a_ij = 1 – j. State whether A is symmetric or skew–symmetric

Choose the correct alternative:
If the points (x, – 2), (5, 2), (8, 8) are collinear, then x is equal to

Choose the correct alternative:
The matrix A satisfying the equation `[(1, 3),(0, 1)] "A" = [(1, 1),(0, -1)]` is

A matrix is an ordered:-