Quiz about Matrices

Question 1

If $${A}=[{a}_{{ij}}]$$ is a skew-symmetric matrix of order $${n}$$, then

Accepted Answer

Covalent bond

Answer

$$a_{i j}=0$$, where $$i=j$$

Answer

$$[a_{i j}]=$$

$$\frac{1}{a_{j i}} \forall i, j$$

Answer

$$a_{i j} 
eq 0 \forall i, j$$

Answer

$$a_{i j} 
eq 0$$ where $$i=j$$

Question 2

If $${A}$$ is a square matrix of order $$3,|A^{\prime}|=-3$$, then $$|A A^{\prime}|=$$

Accepted Answer

Covalent bond

Answer

$$9$$

Answer

$$-9$$

Answer

$$3$$

Answer

$$-3$$

Question 3

The area of a triangle with vertices $${A}, {B}, {C}$$ is given by

Accepted Answer

Covalent bond

Answer

$$|{A B} 	imes {A C}|$$

Answer

$$\frac{1}{2}|{A B} 	imes {A C}|$$

Answer

$$\frac{1}{4}|{A C} 	imes {A B}|$$

Answer

$$\frac{1}{8}|{A C} 	imes {A B}|$$

Question 4

If $${A}, {B}$$ are non-singular square matrices of the same order, then $$(A B^{-1})^{-1}=$$

Accepted Answer

Covalent bond

Answer

$$B A^{-1}$$

Answer

$$A^{-1} B$$

Answer

$$A^{-1} B^{-1}$$

Answer

$$A B$$

Question 5

If ![](http://admin.getprephub.com/media/editor/mh35_20221009214707801595.png), find $$A^{-1}$$. Use $$A^{-1}$$ to solve the following system of equations $$2 x-3 y+5 z=11,3 x+2 y-4 z=-5, x+y-2 z=-3$$

Accepted Answer

Covalent bond

Answer

$$x=1, y=2, z=3$$

Answer

$$x=6, y=9, z=10$$

Answer

$$x=4, y=5, z=7$$

Answer

None of the above

Matrices Cbse Class 12 Maths Problems and Solutions

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