If find p and q.

Question

If find p and q.

KnowledgeBoat · Accepted Answer

Given, A² = O. By definition of equality of matrices we get, ⇒ 9 + 3p = 0 or 3p = -9 or p = -3 ⇒ 9 + 3q = 0 or 3q = -9 or q = -3 ⇒ 3p + qp = 0 (Eq 1) ⇒ 3p + q² = 0 (Eq 2) Checking whether p = -3 and q = -3 satisfy Eq 1, ⇒ 3p + qp = 0 L.H.S. = 3(-3) + (-3)(-3) = -9 + 9 = 0 = R.H.S. Checking whether p = -3 and q = -3 satisfy Eq 2, ⇒ 3p + q² = 0 L.H.S. = 3(-3) + (-3)² = -9 + 9 = 0 = R.H.S. Since, p = -3 and q = -3 satisfies Eq 1 and Eq 2, ∴ p = -3 and q = -3. Hence, the values are p = -3 and q = -3.

Mathematics

If find p and q.

Matrices

Related Questions