[2-40017] - Mathematics

`[(2 ,- 4),(0 ,0),(1 , 7)]`

Sum

It is matrix of order 3 × 2.

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Chapter 8: Matrices - Exercise 8.1

Chapter 8 Matrices
Exercise 8.1 | Q 1.4

Solve for a, b and c; if `[(-4, a + 5),(3, 2)] = [(b + 4, 2),(3, c- 1)]`

Find cofactors of the elements of the matrix A = `[(-1, 2),(-3, 4)]`.

Solve the following system of linear equation using matrix method:
`1/x + 1/y +1/z = 9`

`2/x + 5/y+7/z = 52`

`2/x+1/y-1/z=0`

Classify the following matrix :

`|(1 , 1),(0,9)|`

If P = `|(8,5),(7,2)|` find P - P^t

If A = `|(5,"r"),("p",7)|` , c and if A + B = (9,7),(5,8) , find the values of p,q,r and s.

Let A = `|(3 , 2),(0 ,5)|` and B = `|(1 ,0),(1 ,2)|` , find (i) (A + B)(A - B) (ii) A² - B² . Is (i) equal to (ii) ?

Write the negation of the following statements :
(a) Radha likes tea or coffee.
(b) `∃x cc` R such that x + 3 ≥ 10.

Using the truth table statement, examine whether the statement pattern (p → q) ↔ (∼ p v q) is a tautology, a contradiction or a contingency.

`[(0, 0, 0),(0, 0, 0)]`