Plus Two Maths Chapter Wise Previous Questions Chapter 3 Matrices are part of Plus Two Maths Chapter Wise Previous Year Questions and Answers. Here we have given Plus Two Maths Chapter Wise Previous Chapter 3 Matrices.
Kerala Plus Two Maths Chapter Wise Previous Questions and Answers Chapter 3 Matrices
Using elementary row operations, find the inverse of the matrix
a.Find x and y if
b. Express the matrix as the sum of a symmetric and a skew- symmetric matrices.
2x-y=10 — (1)
(1)+(2) → 5x=15 x=3
2x-y=10 6-y=10 y=6-10=-4
Thus, B is represented as the sum of symmetric and a skew symmetric matrix.
The value of K such that the matrix
is symmetric is
b. Write as the sum of a symmentric and a skew-symmentric matrix
c. Find the inverse of
a. Choose the correct statement related to the matrix
i. A3 = A, B3 ≠ B
ii. A3 ≠ A,B3 = B
iii. A3 ≠ A, B3 = B
iv. A3 ≠ A, B3 ≠ B
b. If ,Then verify the equation
M2-10M+11 I2=0 [March-2015]
Consider the matrices
Find the of a,b,c,d.
a. Find AB.
b. Is BA defined? Justify your answer. [March-2013]
(b) BA is not defined.
If the number of columns of A ≠ the number of rows of B
then (a) .Find A2-5A+7I=0
(i) If A is a square matrix such that A2 = A, then (I + A)2 – 3A is equal to
(ii) Find A2 – 5A + 6I if
Consider the Matrices
a. Find A+B
b. Find (A+B)(A-B) [June-2010]
a. Find AT
b. If AT.A=6I,find the value of α,β,γ [June-2010]
a. Consider if be 3×3 matrix A whose element are given by aij-2i-j
Find AB. [March -2010]
i. Find AB.
ii. If (AB) C = , then find x.
iii. Using this value of z, prove that (AB) C A (BC). [Say 2010]
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