Advertisements
Advertisements
Question
State, whether the following statement is true or false. If false, give a reason.
Transpose of a 2 × 1 matrix is a 2 × 1 matrix.
Options
True
False
Solution
This statement is False.
Explanation:
Transpose of a 2 × 1 matrix is a 1 × 2 matrix.
APPEARS IN
RELATED QUESTIONS
Wherever possible, write the following as a single matrix.
`[(1, 2),(3, 4)] + [(-1, -2),(1, -7)]`
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.
A2 – B2 = (A + B) (A – B)
Find the inverse of the matrix A=`[[1,2],[1,3]]` using elementry transformations.
If B = `|(15 , 13),(11,12),(10,17)|` , find the transpose of matrix Band If possible find the sum of the two matrices. If not possible state the reason.
If P = `|(1 , 2),(2 , 1)|` and Q = `|(2 , 1),(1 , 2)|` find P (QP).
Solve the equations x + y = 4 and 2x - y = 5 using the method of reduction.
Given `[(2, 1),(-3, 4)], "X" = [(7),(6)]` the order of the matrix X
If A is a matrix of order m × 3, B is a matrix of order 3 × 2 and R is a matrix of order 5 × n such that AB = R, the value of m and n are ______.
If A = `[(5, -2),(7, -0)]` and B = `[(8),(3)]`, then which of the following is not possible?