Advertisements
Advertisements
प्रश्न
Using the truth table statement, examine whether the statement pattern (p → q) ↔ (∼ p v q) is a tautology, a contradiction or a contingency.
उत्तर
Truth Table :
| (1) | (2) | (3) | (4) | (5) | (6) |
| P | q | ∼ p | P → q | ∼ p ∨ q | (p → q) ↔ (∼ p ∨ q) |
| T | T | F | T | T | T |
| T | F | F | F | F | T |
| F | T | T | T | T | T |
| F | F | T | T | T | T |
All entries in column (6) are T's.
∴ Given statement is a Tautoiogy.
APPEARS IN
संबंधित प्रश्न
Solve for a, b and c; if `[(-4, a + 5),(3, 2)] = [(b + 4, 2),(3, c- 1)]`
Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 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
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
If M = `[(2,1),(1,-2)] `; find M2, M3 and M5.
Classify the following rnatrix :
`|(2,1),(0 , 6),(8 , 7) |`
Classify the following matrix :
`[(7, 0)]`
If P= (8,5),(7,2) find : P + Pt
Evaluate the following :
`|(0 , 1 , 0),(2 , 0 , -3),(1 , 0 , -2)| |(1 , -2),(3 , 4),(0 , 0)|`
If A = `|(1,3),(3,2)|` and B = `|(-2 , 3),(-4 , 1)|` find BA
If P = `|(1 , 2),(2 , 1)|` and Q = `|(2 , 1),(1 , 2)|` find P (QP).
If A = `[(1,1),(2,2)] , "B" = [(1,2),(3,4)]` then find |AB|.
`[(2 ,- 4),(0 ,0),(1 , 7)]`
Construct a 2 x 2 matrix whose elements aij are given by aij = 2i – j
Let `"M" xx [(1, 1),(0, 2)]` = [1 2] where M is a matrix.
- State the order of matrix M
- Find the matrix M
Choose the correct answer from the given four options :
If A = [aij]2×2 where aij = i + j, then A is equal to
I2 is the matrix ____________.
A, B and C are three matrices each of order 5; the order of matrix CA + B2 is ______.
If A = `[(5, -2),(7, -0)]` and B = `[(8),(3)]`, then which of the following is not possible?
If a matrix A = `[(0, 1),(2, -1)]` and matrix B = `[(3),(1)]`, then which of the following is possible:
