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
Solve for a, b and c; if `[(-4, a + 5),(3, 2)] = [(b + 4, 2),(3, c- 1)]`
Find the inverse of the matrix A=`[[1,2],[1,3]]` using elementry transformations.
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 :
`|(0 , 1 , 0),(2 , 0 , -3),(1 , 0 , -2)| |(1 , -2),(3 , 4),(0 , 0)|`
If `"A" = [(1,2,-3),(5,4,0)] , "B" = [(1,4,3),(-2,5,0)]`, then find 2A + 3B.
Using the truth table statement, examine whether the statement pattern (p → q) ↔ (∼ p v q) is a tautology, a contradiction or a contingency.
`[(2 , 7, 8),(-1 , sqrt(2), 0)]`
If a matrix has 4 elements, what are the possible order it can have?
The construction of demand line or supply line is the result of using
If A = `[(5, -2),(7, -0)]` and B = `[(8),(3)]`, then which of the following is not possible?
