Advertisements
Advertisements
प्रश्न
Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.
- State the order of matrix M
- Find the matrix M
Advertisements
उत्तर
Given
(i) `"M" xx [(1, 1),(0, 2)]` = [1 2]
M is the order of 1 x 2
(ii) let M = [x y]
∴ `[(x , y)] xx [(1, 1),(0, 2)] = [(1 , 2)]`
⇒ `[(x + 0 , x + 2y)] = [(1 , 2)]`
Comparing the corresponding elements
x = 1 and x + 2y = 2
⇒ 1 + 2y = 2
⇒ 2y = 2 - 1 = 1
⇒ y = `(1)/(2)`
Hence x = 1, y = `(1)/(2)`
∴ M = `[(1, 1/2)]`.
APPEARS IN
संबंधित प्रश्न
State, whether the following statement is true or false. If false, give a reason.
A column matrix has many columns and only one row.
Solve for a, b and c; if `[(-4, a + 5),(3, 2)] = [(b + 4, 2),(3, c- 1)]`
Evaluate:
`2[(-1 0)/(2 -3)] +[(3 3)/(5 0)]`
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
(A + B) . C = A . C + B . C
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A2 – B2 = (A + B) (A – B)
Find the inverse of the matrix A=`[[1,2],[1,3]]` using elementry transformations.
Classify the following matrix :
`|(11 , 3 , 0),(21 , 8 , 4),(15,5,2)|`
If A = `|(5,"r"),("p",7)|` , c and if A + B = (9,7),(5,8) , find the values of p,q,r and s.
`[(2 ,- 4),(0 ,0),(1 , 7)]`
A, B and C are three matrices each of order 5; the order of matrix CA + B2 is ______.
