Advertisements
Advertisements
प्रश्न
If `M xx [(3, 2),(-1, 0)] = [(3, -1)]`, the order of matrix M is ______.
पर्याय
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.
Wherever possible, write the following as a single matrix.
`[(2, 3, 4),(5, 6, 7)] - [(0, 2, 3),(6, -1, 0)]`
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A – B = B – A
Evaluate the following :
`|(1 , 1),(2 , 3)| |(2 , 1),(1 , 4)|`
If P = `|(1 , 2),(2 , 1)|` and Q = `|(2 , 1),(1 , 2)|` find P (QP).
If A = `|(3,-2),(-1 , 4)|` , B = `|(2"a"),(1)|` , C = `|(-4),(5)|` , D = `|(2),("b")|` and AB + 2C = 4D then find the values of a and b.
If `"A" = [(1,2,-3),(5,4,0)] , "B" = [(1,4,3),(-2,5,0)]`, then find 2A + 3B.
`[(3),(0),(-1)]`
`[(2 ,- 4),(0 ,0),(1 , 7)]`
A, B and C are three matrices each of order 5; the order of matrix CA + B2 is ______.
