10. If the matrix A is both symmetric and skew symmetric, then (A) A is a diagonal matrix(B) A is a zero matrix(C) A is a square matrix(D) None of these Previous Next Class 12 Matrices Miscellaneous Exercise 1. If…
9. If (A=begin{bmatrix}α&β \ γ &-αend{bmatrix}) is such that (A^2=I), then (A) (1+α^2+βγ=0)(B) (1-α^2+βγ=0)(C) (1-α^2-βγ=0)(D) (1+α^2-βγ=0). Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is a skew symmetric matrix. 2.…
8. Find the matrix X so that (Xbegin{bmatrix}1&2&3 \ 4&5&6 end{bmatrix}=)(begin{bmatrix}-7&-8&-9 \ 2&4&6 end{bmatrix}). Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is a skew symmetric matrix. 2. Show that…
7. A manufacturer produces three products x, y, z which he sells in two markets. Annual sales are indicated below: Market Products I 10,000 2,000 18,000 II 6,000 20,000 8,000 (a) If unit sale prices of x, y and z…
6. Find x, if (A=begin{bmatrix}x&-5&-1end{bmatrix}) (begin{bmatrix}1&0&2 \0&2&1\2&0&3 end{bmatrix})(begin{bmatrix}x\4\1 end{bmatrix}=O). Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is a skew symmetric matrix. 2. Show that the matrix B’AB is symmetric…
5. If (A=begin{bmatrix}3&1 \ -1&2end{bmatrix}), show that (A^2-5A+7I=0). Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is a skew symmetric matrix. 2. Show that the matrix B’AB is symmetric or…
4. For what values of x: (A=begin{bmatrix}1&2&1end{bmatrix}) (begin{bmatrix}1&2&0 \2&0&1\1&0&2 end{bmatrix})(begin{bmatrix}0\2\x end{bmatrix}=O?) Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is a skew symmetric matrix. 2. Show that the matrix B’AB…
3. Find the values of x, y, z if the matrix (A=begin{bmatrix}0 & 2y & z \ x & y & -z \ x & -y & z end{bmatrix}) satisfy the equation (A’A=I). Previous Next Class 12 Matrices Miscellaneous Exercise…
2. Show that the matrix B’AB is symmetric or skew symmetric according as A is symmetric or skew symmetric. Previous Next Class 12 Matrices Miscellaneous Exercise 1. If A and B are symmetric matrices, prove that AB–BA is a skew…
Coordinate Geometry Multiple Choice Test 01
