Is the given matrix in echelon form? If not, convert it to reduced echelon form.

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ScanSolve AI Tutor · Accepted Answer

✅ Correct. Haan, yeh matrix echelon form mein hai. Echelon form ki sharaait: Har non-zero row zero rows ke upar hai. Har non-zero row ka leading entry (pivot) uske upar wali row ke leading entry ke right mein hai. Leading entry ke neeche ke saare elements zero hain. Lekin, yeh reduced echelon form mein nahi hai. Reduced echelon form ke liye, har leading entry 1 honi chahiye aur us column mein leading entry ke ilawa baaki saare elements zero hone chahiye. Aage ke steps reduced echelon form ke liye: Step 1: R₂ → 1/2R₂ 1 & 2 & −1 & 3 0 & 0 & 1 & 1 0 & 0 & 0 & 0 Step 2: R₁ → R₁ + R₂ 1 & 2 & 0 & 4 0 & 0 & 1 & 1 0 & 0 & 0 & 0 Yeh matrix ab reduced echelon form mein hai.

Is the given matrix in echelon form? If not, convert it to reduced echelon form.

Step-by-step solution

$R_2 \to \frac{1}{2}R_2$

$R_1 \to R_1 + R_2$

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More Mathematics Questions

Is the given matrix in echelon form? If not, convert it to reduced echelon form.

Step-by-step solution

R2→12R2R_2 \to \frac{1}{2}R_2R2​→21​R2​

R1→R1+R2R_1 \to R_1 + R_2R1​→R1​+R2​

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More Mathematics Questions

$R_2 \to \frac{1}{2}R_2$

$R_1 \to R_1 + R_2$