Advertisements
Advertisements
प्रश्न
If `M xx [(3, 2),(-1, 0)] = [(3, -1)]`, the order of matrix M is ______.
विकल्प
2 × 2
2 × 1
1 × 2
1 × 3
Advertisements
उत्तर
If `M xx [(3, 2),(-1, 0)] = [(3, -1)]`, the order of matrix M is 1 × 2.
Explanation:
Order of matrix on R.H.S = 1 × 2
Let M be a matrix of order m × n
And N = `[(3, 2),(-1, 0)]` is a matrix of order 2 × 2
Since MN = `[(3, -1)]_(1 xx 2)`
Now MN exists
If No. of columns in M = No. of rows in N
`\implies` n = 2
∴ MN is a matrix of order m × 2
`\implies` m = 1
Thus, M is a matrix of order m × n i.e. 1 × 2
संबंधित प्रश्न
State, whether the following statement is true or false. If false, give a reason.
The matrices A2 × 3 and B2 × 3 are conformable for subtraction.
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
(B . C) . A = B . (C . A)
If A = `|("p","q"),(8,5)|` , B = `|(3"p",5"q"),(2"q" , 7)|` and if A + B = `|(12,6),(2"r" , 3"s")|` , find the values of p,q,r and s.
Evaluate the following :
`|(6 , 1),(3 , 1),(2 , 4)| |(1 , -2 , 1),(2 , 1 , 3)|`
`[(0, 0, 0),(0, 0, 0)]`
Choose the correct answer from the given four options :
If A = [aij]2×2 where aij = i + j, then A is equal to
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = `(("i" - "j")^2)/(5 - "i")`
Construct a matrix A = [aij]3 × 2 whose element aij is given by
aij = i – 3j
If a matrix A = `[(0, 1),(2, -1)]` and matrix B = `[(3),(1)]`, then which of the following is possible:
In a matrix, horizontal lines are called:
